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Finding the Fourth Proportional to 2,702.33, 3,729.08 and 1,523.39

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Solution

The fourth proportional to 2,702.33, 3,729.08 and 1,523.39 is: 2,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.33 : 3,729.08 = 1,523.39 : x
  2. Step 2: Convert to fraction form
    2,702.33/3,729.08 = 1,523.39/x
  3. Step 3: Cross multiply
    2,702.33x = 3,729.08 × 1,523.39
  4. Step 4: Simplify right side
    2,702.33x = 5,680,835.56
  5. Step 5: Solve for x
    x = 5,680,835.56/2,702.33
  6. Step 6: Final answer
    x = 2,102.20

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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.