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Finding the Fourth Proportional to 2,702.68, 3,729.66 and 1,523.74

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Solution

The fourth proportional to 2,702.68, 3,729.66 and 1,523.74 is: 2,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.68 : 3,729.66 = 1,523.74 : x
  2. Step 2: Convert to fraction form
    2,702.68/3,729.66 = 1,523.74/x
  3. Step 3: Cross multiply
    2,702.68x = 3,729.66 × 1,523.74
  4. Step 4: Simplify right side
    2,702.68x = 5,683,032.13
  5. Step 5: Solve for x
    x = 5,683,032.13/2,702.68
  6. Step 6: Final answer
    x = 2,102.74

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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.