Explanation:

- We need to find a number that, when increased by 16%, equals 1914.

- Let the original number be \( x \).

- An increase of 16% means the original number becomes \( x \times 1.16 \).

- The equation is \( x \times 1.16 = 1914 \).

- Solve for \( x \):

$$ x = \frac{1914}{1.16} $$

- Calculating gives:

$$ x \approx 1650 $$

- Option 2 (1650) is indeed the correct answer.