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Finding the Fourth Proportional to 2,869.25, 3,959.34 and 1,610.13

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Solution

The fourth proportional to 2,869.25, 3,959.34 and 1,610.13 is: 2,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.25 : 3,959.34 = 1,610.13 : x
  2. Step 2: Convert to fraction form
    2,869.25/3,959.34 = 1,610.13/x
  3. Step 3: Cross multiply
    2,869.25x = 3,959.34 × 1,610.13
  4. Step 4: Simplify right side
    2,869.25x = 6,375,052.11
  5. Step 5: Solve for x
    x = 6,375,052.11/2,869.25
  6. Step 6: Final answer
    x = 2,221.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.