Final answer:
The nurse should administer 2.3 ml of the reconstituted solution.
Step-by-step explanation:
In order to calculate the volume of the solution that should be administered, we need to use a proportion comparing the concentration of the solution and the desired dose.
The reconstituted solution has a concentration of 330 mg/ml. We can set up the proportion as follows: (750 mg) / x ml = (330 mg) / (1 ml). Solving for x, we find that x = 2.27 ml. Rounding to the nearest tenth, the nurse should administer 2.3 ml.