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Finding the Fourth Proportional to 3,134.42, 4,702.10 and 942.92

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Solution

The fourth proportional to 3,134.42, 4,702.10 and 942.92 is: 1,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.42 : 4,702.10 = 942.92 : x
  2. Step 2: Convert to fraction form
    3,134.42/4,702.10 = 942.92/x
  3. Step 3: Cross multiply
    3,134.42x = 4,702.10 × 942.92
  4. Step 4: Simplify right side
    3,134.42x = 4,433,675.91
  5. Step 5: Solve for x
    x = 4,433,675.91/3,134.42
  6. Step 6: Final answer
    x = 1,414.51

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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.