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Finding the Fourth Proportional to 2,581.87, 3,873.06 and 826.43

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Solution

The fourth proportional to 2,581.87, 3,873.06 and 826.43 is: 1,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.87 : 3,873.06 = 826.43 : x
  2. Step 2: Convert to fraction form
    2,581.87/3,873.06 = 826.43/x
  3. Step 3: Cross multiply
    2,581.87x = 3,873.06 × 826.43
  4. Step 4: Simplify right side
    2,581.87x = 3,200,822.66
  5. Step 5: Solve for x
    x = 3,200,822.66/2,581.87
  6. Step 6: Final answer
    x = 1,239.73

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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.