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Finding the Fourth Proportional to 2,702.60, 4,053.62 and 754.82

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Solution

The fourth proportional to 2,702.60, 4,053.62 and 754.82 is: 1,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.60 : 4,053.62 = 754.82 : x
  2. Step 2: Convert to fraction form
    2,702.60/4,053.62 = 754.82/x
  3. Step 3: Cross multiply
    2,702.60x = 4,053.62 × 754.82
  4. Step 4: Simplify right side
    2,702.60x = 3,059,753.45
  5. Step 5: Solve for x
    x = 3,059,753.45/2,702.60
  6. Step 6: Final answer
    x = 1,132.15

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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.