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Finding the Fourth Proportional to 2,569.28, 3,853.89 and 621.47

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Solution

The fourth proportional to 2,569.28, 3,853.89 and 621.47 is: 932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.28 : 3,853.89 = 621.47 : x
  2. Step 2: Convert to fraction form
    2,569.28/3,853.89 = 621.47/x
  3. Step 3: Cross multiply
    2,569.28x = 3,853.89 × 621.47
  4. Step 4: Simplify right side
    2,569.28x = 2,395,086.65
  5. Step 5: Solve for x
    x = 2,395,086.65/2,569.28
  6. Step 6: Final answer
    x = 932.20

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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.