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Finding the Fourth Proportional to 2,581.74, 3,872.86 and 826.80

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Solution

The fourth proportional to 2,581.74, 3,872.86 and 826.80 is: 1,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.74 : 3,872.86 = 826.80 : x
  2. Step 2: Convert to fraction form
    2,581.74/3,872.86 = 826.80/x
  3. Step 3: Cross multiply
    2,581.74x = 3,872.86 × 826.80
  4. Step 4: Simplify right side
    2,581.74x = 3,202,080.65
  5. Step 5: Solve for x
    x = 3,202,080.65/2,581.74
  6. Step 6: Final answer
    x = 1,240.28

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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.