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Finding the Fourth Proportional to 2,874.08, 4,311.96 and 1,142.96

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Solution

The fourth proportional to 2,874.08, 4,311.96 and 1,142.96 is: 1,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.08 : 4,311.96 = 1,142.96 : x
  2. Step 2: Convert to fraction form
    2,874.08/4,311.96 = 1,142.96/x
  3. Step 3: Cross multiply
    2,874.08x = 4,311.96 × 1,142.96
  4. Step 4: Simplify right side
    2,874.08x = 4,928,397.80
  5. Step 5: Solve for x
    x = 4,928,397.80/2,874.08
  6. Step 6: Final answer
    x = 1,714.77

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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.