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Finding the Fourth Proportional to 2,702.52, 3,723.30 and 2,002.68

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Solution

The fourth proportional to 2,702.52, 3,723.30 and 2,002.68 is: 2,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.52 : 3,723.30 = 2,002.68 : x
  2. Step 2: Convert to fraction form
    2,702.52/3,723.30 = 2,002.68/x
  3. Step 3: Cross multiply
    2,702.52x = 3,723.30 × 2,002.68
  4. Step 4: Simplify right side
    2,702.52x = 7,456,578.44
  5. Step 5: Solve for x
    x = 7,456,578.44/2,702.52
  6. Step 6: Final answer
    x = 2,759.12

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Why These Related Problems?

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