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Finding the Fourth Proportional to 2,702.64, 3,729.32 and 1,523.92

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Solution

The fourth proportional to 2,702.64, 3,729.32 and 1,523.92 is: 2,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.64 : 3,729.32 = 1,523.92 : x
  2. Step 2: Convert to fraction form
    2,702.64/3,729.32 = 1,523.92/x
  3. Step 3: Cross multiply
    2,702.64x = 3,729.32 × 1,523.92
  4. Step 4: Simplify right side
    2,702.64x = 5,683,185.33
  5. Step 5: Solve for x
    x = 5,683,185.33/2,702.64
  6. Step 6: Final answer
    x = 2,102.83

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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.