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Finding the Fourth Proportional to 2,702.43, 3,729.24 and 1,523.61

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Solution

The fourth proportional to 2,702.43, 3,729.24 and 1,523.61 is: 2,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.43 : 3,729.24 = 1,523.61 : x
  2. Step 2: Convert to fraction form
    2,702.43/3,729.24 = 1,523.61/x
  3. Step 3: Cross multiply
    2,702.43x = 3,729.24 × 1,523.61
  4. Step 4: Simplify right side
    2,702.43x = 5,681,907.36
  5. Step 5: Solve for x
    x = 5,681,907.36/2,702.43
  6. Step 6: Final answer
    x = 2,102.52

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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.