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Finding the Fourth Proportional to 2,581.31, 3,869.48 and 825.35

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Solution

The fourth proportional to 2,581.31, 3,869.48 and 825.35 is: 1,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.31 : 3,869.48 = 825.35 : x
  2. Step 2: Convert to fraction form
    2,581.31/3,869.48 = 825.35/x
  3. Step 3: Cross multiply
    2,581.31x = 3,869.48 × 825.35
  4. Step 4: Simplify right side
    2,581.31x = 3,193,651.84
  5. Step 5: Solve for x
    x = 3,193,651.84/2,581.31
  6. Step 6: Final answer
    x = 1,237.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.