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Finding the Fourth Proportional to 1,616.31, 2,428.11 and 1,397.61

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Solution

The fourth proportional to 1,616.31, 2,428.11 and 1,397.61 is: 2,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.31 : 2,428.11 = 1,397.61 : x
  2. Step 2: Convert to fraction form
    1,616.31/2,428.11 = 1,397.61/x
  3. Step 3: Cross multiply
    1,616.31x = 2,428.11 × 1,397.61
  4. Step 4: Simplify right side
    1,616.31x = 3,393,550.82
  5. Step 5: Solve for x
    x = 3,393,550.82/1,616.31
  6. Step 6: Final answer
    x = 2,099.57

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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.