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Finding the Fourth Proportional to 1,545.92, 2,316.16 and 1,287.58

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Solution

The fourth proportional to 1,545.92, 2,316.16 and 1,287.58 is: 1,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.92 : 2,316.16 = 1,287.58 : x
  2. Step 2: Convert to fraction form
    1,545.92/2,316.16 = 1,287.58/x
  3. Step 3: Cross multiply
    1,545.92x = 2,316.16 × 1,287.58
  4. Step 4: Simplify right side
    1,545.92x = 2,982,241.29
  5. Step 5: Solve for x
    x = 2,982,241.29/1,545.92
  6. Step 6: Final answer
    x = 1,929.10

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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.