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Finding the Fourth Proportional to 2,545.26, 3,818.61 and 814.02

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Solution

The fourth proportional to 2,545.26, 3,818.61 and 814.02 is: 1,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.26 : 3,818.61 = 814.02 : x
  2. Step 2: Convert to fraction form
    2,545.26/3,818.61 = 814.02/x
  3. Step 3: Cross multiply
    2,545.26x = 3,818.61 × 814.02
  4. Step 4: Simplify right side
    2,545.26x = 3,108,424.91
  5. Step 5: Solve for x
    x = 3,108,424.91/2,545.26
  6. Step 6: Final answer
    x = 1,221.26

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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.