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Finding the Fourth Proportional to 2,874.62, 4,311.95 and 1,143.24

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Solution

The fourth proportional to 2,874.62, 4,311.95 and 1,143.24 is: 1,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.62 : 4,311.95 = 1,143.24 : x
  2. Step 2: Convert to fraction form
    2,874.62/4,311.95 = 1,143.24/x
  3. Step 3: Cross multiply
    2,874.62x = 4,311.95 × 1,143.24
  4. Step 4: Simplify right side
    2,874.62x = 4,929,593.72
  5. Step 5: Solve for x
    x = 4,929,593.72/2,874.62
  6. Step 6: Final answer
    x = 1,714.87

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