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Finding the Fourth Proportional to 2,869.31, 3,959.67 and 1,593.27

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Solution

The fourth proportional to 2,869.31, 3,959.67 and 1,593.27 is: 2,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.31 : 3,959.67 = 1,593.27 : x
  2. Step 2: Convert to fraction form
    2,869.31/3,959.67 = 1,593.27/x
  3. Step 3: Cross multiply
    2,869.31x = 3,959.67 × 1,593.27
  4. Step 4: Simplify right side
    2,869.31x = 6,308,823.42
  5. Step 5: Solve for x
    x = 6,308,823.42/2,869.31
  6. Step 6: Final answer
    x = 2,198.73

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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.