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Finding the Fourth Proportional to 1,545.72, 2,131.18 and 1,020.92

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Solution

The fourth proportional to 1,545.72, 2,131.18 and 1,020.92 is: 1,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.72 : 2,131.18 = 1,020.92 : x
  2. Step 2: Convert to fraction form
    1,545.72/2,131.18 = 1,020.92/x
  3. Step 3: Cross multiply
    1,545.72x = 2,131.18 × 1,020.92
  4. Step 4: Simplify right side
    1,545.72x = 2,175,764.29
  5. Step 5: Solve for x
    x = 2,175,764.29/1,545.72
  6. Step 6: Final answer
    x = 1,407.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.