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Finding the Fourth Proportional to 3,142.43, 4,714.50 and 951.24

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Solution

The fourth proportional to 3,142.43, 4,714.50 and 951.24 is: 1,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.43 : 4,714.50 = 951.24 : x
  2. Step 2: Convert to fraction form
    3,142.43/4,714.50 = 951.24/x
  3. Step 3: Cross multiply
    3,142.43x = 4,714.50 × 951.24
  4. Step 4: Simplify right side
    3,142.43x = 4,484,620.98
  5. Step 5: Solve for x
    x = 4,484,620.98/3,142.43
  6. Step 6: Final answer
    x = 1,427.12

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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.