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Finding the Fourth Proportional to 2,514.78, 3,772.71 and 759.92

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Solution

The fourth proportional to 2,514.78, 3,772.71 and 759.92 is: 1,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.78 : 3,772.71 = 759.92 : x
  2. Step 2: Convert to fraction form
    2,514.78/3,772.71 = 759.92/x
  3. Step 3: Cross multiply
    2,514.78x = 3,772.71 × 759.92
  4. Step 4: Simplify right side
    2,514.78x = 2,866,957.78
  5. Step 5: Solve for x
    x = 2,866,957.78/2,514.78
  6. Step 6: Final answer
    x = 1,140.04

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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.