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Finding the Fourth Proportional to 2,869.39, 3,959.69 and 1,610.52

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Solution

The fourth proportional to 2,869.39, 3,959.69 and 1,610.52 is: 2,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.39 : 3,959.69 = 1,610.52 : x
  2. Step 2: Convert to fraction form
    2,869.39/3,959.69 = 1,610.52/x
  3. Step 3: Cross multiply
    2,869.39x = 3,959.69 × 1,610.52
  4. Step 4: Simplify right side
    2,869.39x = 6,377,137.04
  5. Step 5: Solve for x
    x = 6,377,137.04/2,869.39
  6. Step 6: Final answer
    x = 2,222.47

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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.