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Finding the Fourth Proportional to 2,869.29, 3,959.38 and 1,610.18

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Solution

The fourth proportional to 2,869.29, 3,959.38 and 1,610.18 is: 2,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.29 : 3,959.38 = 1,610.18 : x
  2. Step 2: Convert to fraction form
    2,869.29/3,959.38 = 1,610.18/x
  3. Step 3: Cross multiply
    2,869.29x = 3,959.38 × 1,610.18
  4. Step 4: Simplify right side
    2,869.29x = 6,375,314.49
  5. Step 5: Solve for x
    x = 6,375,314.49/2,869.29
  6. Step 6: Final answer
    x = 2,221.91

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Why These Related Problems?

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