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Finding the Fourth Proportional to 2,581.19, 3,871.73 and 826.29

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Solution

The fourth proportional to 2,581.19, 3,871.73 and 826.29 is: 1,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.19 : 3,871.73 = 826.29 : x
  2. Step 2: Convert to fraction form
    2,581.19/3,871.73 = 826.29/x
  3. Step 3: Cross multiply
    2,581.19x = 3,871.73 × 826.29
  4. Step 4: Simplify right side
    2,581.19x = 3,199,167.65
  5. Step 5: Solve for x
    x = 3,199,167.65/2,581.19
  6. Step 6: Final answer
    x = 1,239.42

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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.