Final answer:
The proportion given is incorrectly formatted or misinterpreted as the calculated result does not match any of the provided options. A recalculation with correct numbers or a correct interpretation of the given proportions is necessary.
Step-by-step explanation:
To solve this proportion, we need to first convert the mixed number to an improper fraction. The proportion is given as 2 2/7 : (0.6x) = 4/21 : 0.25. Converting 2 2/7 to an improper fraction, we get 16/7. We then set up the equation (16/7) / (0.6x) = (4/21) / 0.25. Using cross-multiplication to solve for x, we get:
16/7 * 0.25 = (0.6x) * (4/21).
Simplifying the equation, we obtain:
x = (16 * 0.25 * 21) / (7 * 0.6 * 4)
This simplifies to:
x = (16 * 25) / (7 * 6)
Further simplification shows that x = 100 / 42, which reduces to x ≈ 2.38. However, the provided solution options are not close to this result, which indicates there might be an error in the question or in the interpretation of the given proportions.