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Finding the Fourth Proportional to 2,581.49, 3,872.19 and 633.71

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Solution

The fourth proportional to 2,581.49, 3,872.19 and 633.71 is: 950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.49 : 3,872.19 = 633.71 : x
  2. Step 2: Convert to fraction form
    2,581.49/3,872.19 = 633.71/x
  3. Step 3: Cross multiply
    2,581.49x = 3,872.19 × 633.71
  4. Step 4: Simplify right side
    2,581.49x = 2,453,826.16
  5. Step 5: Solve for x
    x = 2,453,826.16/2,581.49
  6. Step 6: Final answer
    x = 950.55

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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.