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Finding the Fourth Proportional to 2,569.67, 3,854.52 and 621.87

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Solution

The fourth proportional to 2,569.67, 3,854.52 and 621.87 is: 932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.67 : 3,854.52 = 621.87 : x
  2. Step 2: Convert to fraction form
    2,569.67/3,854.52 = 621.87/x
  3. Step 3: Cross multiply
    2,569.67x = 3,854.52 × 621.87
  4. Step 4: Simplify right side
    2,569.67x = 2,397,007.24
  5. Step 5: Solve for x
    x = 2,397,007.24/2,569.67
  6. Step 6: Final answer
    x = 932.81

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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.