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Finding the Fourth Proportional to 2,581.92, 3,872.57 and 827.12

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Solution

The fourth proportional to 2,581.92, 3,872.57 and 827.12 is: 1,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.92 : 3,872.57 = 827.12 : x
  2. Step 2: Convert to fraction form
    2,581.92/3,872.57 = 827.12/x
  3. Step 3: Cross multiply
    2,581.92x = 3,872.57 × 827.12
  4. Step 4: Simplify right side
    2,581.92x = 3,203,056.60
  5. Step 5: Solve for x
    x = 3,203,056.60/2,581.92
  6. Step 6: Final answer
    x = 1,240.57

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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.