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Finding the Fourth Proportional to 2,467, 3,702.32 and 1,168.47

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Solution

The fourth proportional to 2,467, 3,702.32 and 1,168.47 is: 1,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467 : 3,702.32 = 1,168.47 : x
  2. Step 2: Convert to fraction form
    2,467/3,702.32 = 1,168.47/x
  3. Step 3: Cross multiply
    2,467x = 3,702.32 × 1,168.47
  4. Step 4: Simplify right side
    2,467x = 4,326,049.85
  5. Step 5: Solve for x
    x = 4,326,049.85/2,467
  6. Step 6: Final answer
    x = 1,753.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.