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Finding the Fourth Proportional to 3,194.33, 4,408.94 and 2,132.15

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Solution

The fourth proportional to 3,194.33, 4,408.94 and 2,132.15 is: 2,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.33 : 4,408.94 = 2,132.15 : x
  2. Step 2: Convert to fraction form
    3,194.33/4,408.94 = 2,132.15/x
  3. Step 3: Cross multiply
    3,194.33x = 4,408.94 × 2,132.15
  4. Step 4: Simplify right side
    3,194.33x = 9,400,504.71
  5. Step 5: Solve for x
    x = 9,400,504.71/3,194.33
  6. Step 6: Final answer
    x = 2,942.88

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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.