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Finding the Fourth Proportional to 2,702.80, 4,046.10 and 2,542.60

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Solution

The fourth proportional to 2,702.80, 4,046.10 and 2,542.60 is: 3,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.80 : 4,046.10 = 2,542.60 : x
  2. Step 2: Convert to fraction form
    2,702.80/4,046.10 = 2,542.60/x
  3. Step 3: Cross multiply
    2,702.80x = 4,046.10 × 2,542.60
  4. Step 4: Simplify right side
    2,702.80x = 10,287,613.86
  5. Step 5: Solve for x
    x = 10,287,613.86/2,702.80
  6. Step 6: Final answer
    x = 3,806.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.