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Finding the Fourth Proportional to 3,194.82, 4,407.90 and 2,016.27

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Solution

The fourth proportional to 3,194.82, 4,407.90 and 2,016.27 is: 2,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.82 : 4,407.90 = 2,016.27 : x
  2. Step 2: Convert to fraction form
    3,194.82/4,407.90 = 2,016.27/x
  3. Step 3: Cross multiply
    3,194.82x = 4,407.90 × 2,016.27
  4. Step 4: Simplify right side
    3,194.82x = 8,887,516.53
  5. Step 5: Solve for x
    x = 8,887,516.53/3,194.82
  6. Step 6: Final answer
    x = 2,781.85

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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.