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Finding the Fourth Proportional to 1,545.23, 2,317.85 and 724.29

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Solution

The fourth proportional to 1,545.23, 2,317.85 and 724.29 is: 1,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.23 : 2,317.85 = 724.29 : x
  2. Step 2: Convert to fraction form
    1,545.23/2,317.85 = 724.29/x
  3. Step 3: Cross multiply
    1,545.23x = 2,317.85 × 724.29
  4. Step 4: Simplify right side
    1,545.23x = 1,678,791.96
  5. Step 5: Solve for x
    x = 1,678,791.96/1,545.23
  6. Step 6: Final answer
    x = 1,086.44

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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.