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Finding the Fourth Proportional to 2,463.18, 3,693.52 and 819.15

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Solution

The fourth proportional to 2,463.18, 3,693.52 and 819.15 is: 1,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.18 : 3,693.52 = 819.15 : x
  2. Step 2: Convert to fraction form
    2,463.18/3,693.52 = 819.15/x
  3. Step 3: Cross multiply
    2,463.18x = 3,693.52 × 819.15
  4. Step 4: Simplify right side
    2,463.18x = 3,025,546.91
  5. Step 5: Solve for x
    x = 3,025,546.91/2,463.18
  6. Step 6: Final answer
    x = 1,228.31

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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.