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Finding the Fourth Proportional to 2,563.62, 3,846.89 and 1,082.73

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Solution

The fourth proportional to 2,563.62, 3,846.89 and 1,082.73 is: 1,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.62 : 3,846.89 = 1,082.73 : x
  2. Step 2: Convert to fraction form
    2,563.62/3,846.89 = 1,082.73/x
  3. Step 3: Cross multiply
    2,563.62x = 3,846.89 × 1,082.73
  4. Step 4: Simplify right side
    2,563.62x = 4,165,143.21
  5. Step 5: Solve for x
    x = 4,165,143.21/2,563.62
  6. Step 6: Final answer
    x = 1,624.71

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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.