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Finding the Fourth Proportional to 3,142.57, 4,714.45 and 1,499.24

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Solution

The fourth proportional to 3,142.57, 4,714.45 and 1,499.24 is: 2,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.57 : 4,714.45 = 1,499.24 : x
  2. Step 2: Convert to fraction form
    3,142.57/4,714.45 = 1,499.24/x
  3. Step 3: Cross multiply
    3,142.57x = 4,714.45 × 1,499.24
  4. Step 4: Simplify right side
    3,142.57x = 7,068,092.02
  5. Step 5: Solve for x
    x = 7,068,092.02/3,142.57
  6. Step 6: Final answer
    x = 2,249.14

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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.