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Finding the Fourth Proportional to 2,702.47, 3,729.59 and 1,523.62

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Solution

The fourth proportional to 2,702.47, 3,729.59 and 1,523.62 is: 2,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.47 : 3,729.59 = 1,523.62 : x
  2. Step 2: Convert to fraction form
    2,702.47/3,729.59 = 1,523.62/x
  3. Step 3: Cross multiply
    2,702.47x = 3,729.59 × 1,523.62
  4. Step 4: Simplify right side
    2,702.47x = 5,682,460.97
  5. Step 5: Solve for x
    x = 5,682,460.97/2,702.47
  6. Step 6: Final answer
    x = 2,102.69

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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.