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Finding the Fourth Proportional to 2,363.75, 3,545.61 and 1,127.42

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Solution

The fourth proportional to 2,363.75, 3,545.61 and 1,127.42 is: 1,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.75 : 3,545.61 = 1,127.42 : x
  2. Step 2: Convert to fraction form
    2,363.75/3,545.61 = 1,127.42/x
  3. Step 3: Cross multiply
    2,363.75x = 3,545.61 × 1,127.42
  4. Step 4: Simplify right side
    2,363.75x = 3,997,382.97
  5. Step 5: Solve for x
    x = 3,997,382.97/2,363.75
  6. Step 6: Final answer
    x = 1,691.12

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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.