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Finding the Fourth Proportional to 2,869.35, 3,959.52 and 1,610.17

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Solution

The fourth proportional to 2,869.35, 3,959.52 and 1,610.17 is: 2,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.35 : 3,959.52 = 1,610.17 : x
  2. Step 2: Convert to fraction form
    2,869.35/3,959.52 = 1,610.17/x
  3. Step 3: Cross multiply
    2,869.35x = 3,959.52 × 1,610.17
  4. Step 4: Simplify right side
    2,869.35x = 6,375,500.32
  5. Step 5: Solve for x
    x = 6,375,500.32/2,869.35
  6. Step 6: Final answer
    x = 2,221.93

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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.