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Finding the Fourth Proportional to 2,318.71, 3,478.49 and 932.15

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Solution

The fourth proportional to 2,318.71, 3,478.49 and 932.15 is: 1,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.71 : 3,478.49 = 932.15 : x
  2. Step 2: Convert to fraction form
    2,318.71/3,478.49 = 932.15/x
  3. Step 3: Cross multiply
    2,318.71x = 3,478.49 × 932.15
  4. Step 4: Simplify right side
    2,318.71x = 3,242,457.06
  5. Step 5: Solve for x
    x = 3,242,457.06/2,318.71
  6. Step 6: Final answer
    x = 1,398.39

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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.