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Finding the Fourth Proportional to 2,024.56, 3,037.20 and 871.12

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Solution

The fourth proportional to 2,024.56, 3,037.20 and 871.12 is: 1,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.56 : 3,037.20 = 871.12 : x
  2. Step 2: Convert to fraction form
    2,024.56/3,037.20 = 871.12/x
  3. Step 3: Cross multiply
    2,024.56x = 3,037.20 × 871.12
  4. Step 4: Simplify right side
    2,024.56x = 2,645,765.66
  5. Step 5: Solve for x
    x = 2,645,765.66/2,024.56
  6. Step 6: Final answer
    x = 1,306.83

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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.