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Finding the Fourth Proportional to 2,467.97, 3,702.11 and 1,425.80

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Solution

The fourth proportional to 2,467.97, 3,702.11 and 1,425.80 is: 2,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.97 : 3,702.11 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    2,467.97/3,702.11 = 1,425.80/x
  3. Step 3: Cross multiply
    2,467.97x = 3,702.11 × 1,425.80
  4. Step 4: Simplify right side
    2,467.97x = 5,278,470.56
  5. Step 5: Solve for x
    x = 5,278,470.56/2,467.97
  6. Step 6: Final answer
    x = 2,138.79

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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.