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Finding the Fourth Proportional to 2,566.78, 3,542.16 and 1,387.85

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Solution

The fourth proportional to 2,566.78, 3,542.16 and 1,387.85 is: 1,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.78 : 3,542.16 = 1,387.85 : x
  2. Step 2: Convert to fraction form
    2,566.78/3,542.16 = 1,387.85/x
  3. Step 3: Cross multiply
    2,566.78x = 3,542.16 × 1,387.85
  4. Step 4: Simplify right side
    2,566.78x = 4,915,995.79
  5. Step 5: Solve for x
    x = 4,915,995.79/2,566.78
  6. Step 6: Final answer
    x = 1,915.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.