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Finding the Fourth Proportional to 2,545.38, 3,818.14 and 696.52

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Solution

The fourth proportional to 2,545.38, 3,818.14 and 696.52 is: 1,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.38 : 3,818.14 = 696.52 : x
  2. Step 2: Convert to fraction form
    2,545.38/3,818.14 = 696.52/x
  3. Step 3: Cross multiply
    2,545.38x = 3,818.14 × 696.52
  4. Step 4: Simplify right side
    2,545.38x = 2,659,410.87
  5. Step 5: Solve for x
    x = 2,659,410.87/2,545.38
  6. Step 6: Final answer
    x = 1,044.80

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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.