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Finding the Fourth Proportional to 2,456.31, 3,685.14 and 724.94

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Solution

The fourth proportional to 2,456.31, 3,685.14 and 724.94 is: 1,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.31 : 3,685.14 = 724.94 : x
  2. Step 2: Convert to fraction form
    2,456.31/3,685.14 = 724.94/x
  3. Step 3: Cross multiply
    2,456.31x = 3,685.14 × 724.94
  4. Step 4: Simplify right side
    2,456.31x = 2,671,505.39
  5. Step 5: Solve for x
    x = 2,671,505.39/2,456.31
  6. Step 6: Final answer
    x = 1,087.61

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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.