A 20-year-old woman is evaluated in the emergency department for polyuria, polydipsia, polyphagia, and an unintentional 5.4-kg (11.9-lb) weight loss over the past month. She has had increasing lethargy over the last 24 hours. Her medical history and family history are unremarkable. She takes no medications.

On physical examination, temperature is 37.5 °C (99.5 °F), blood pressure is 98/52 mm Hg, pulse rate is 120/min, and respiration rate is 30/min. BMI is 17. She is lethargic with dry mucous membranes, tachypnea, and tachycardia. Chest auscultation is clear. Abdominal examination shows diffuse mild tenderness and normal bowel sounds. There is no rebound tenderness or guarding with palpation.

Laboratory studies:

Hemoglobin

17 g/dL (170 g/L)

Leukocyte count

14,200/µL (14.2 × 109/L)

Blood gases, arterial

pH

7.25

PCO2

21 mm Hg (2.8 kPa)

Creatinine

1.3 mg/dL (114.9 µmol/L)

Electrolytes

Sodium

130 mEq/L (130 mmol/L)

Potassium

3.0 mEq/L (3.0 mmol/L)

Chloride

99 mEq/L (99 mmol/L)

Bicarbonate

9 mEq/L (9 mmol/L)

Glucose

620 mg/dL (34.4 mmol/L)

Lactic acid

8 mg/dL (0.89 mmol/L)

Intravenous 0.9% saline is initiated through a central venous catheter.

An electrocardiogram shows sinus tachycardia 120/min. Chest radiograph is normal.

Which of the following is the most appropriate next step in the management?