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Finding the Fourth Proportional to 3,141.43, 4,335.78 and 2,079.22

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Solution

The fourth proportional to 3,141.43, 4,335.78 and 2,079.22 is: 2,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.43 : 4,335.78 = 2,079.22 : x
  2. Step 2: Convert to fraction form
    3,141.43/4,335.78 = 2,079.22/x
  3. Step 3: Cross multiply
    3,141.43x = 4,335.78 × 2,079.22
  4. Step 4: Simplify right side
    3,141.43x = 9,015,040.49
  5. Step 5: Solve for x
    x = 9,015,040.49/3,141.43
  6. Step 6: Final answer
    x = 2,869.73

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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.