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Finding the Fourth Proportional to 2,185.71, 3,278.57 and 724.97

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Solution

The fourth proportional to 2,185.71, 3,278.57 and 724.97 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.71 : 3,278.57 = 724.97 : x
  2. Step 2: Convert to fraction form
    2,185.71/3,278.57 = 724.97/x
  3. Step 3: Cross multiply
    2,185.71x = 3,278.57 × 724.97
  4. Step 4: Simplify right side
    2,185.71x = 2,376,869.46
  5. Step 5: Solve for x
    x = 2,376,869.46/2,185.71
  6. Step 6: Final answer
    x = 1,087.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.