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Finding the Fourth Proportional to 2,167.35, 3,251.22 and 1,194.13

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Solution

The fourth proportional to 2,167.35, 3,251.22 and 1,194.13 is: 1,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.35 : 3,251.22 = 1,194.13 : x
  2. Step 2: Convert to fraction form
    2,167.35/3,251.22 = 1,194.13/x
  3. Step 3: Cross multiply
    2,167.35x = 3,251.22 × 1,194.13
  4. Step 4: Simplify right side
    2,167.35x = 3,882,379.34
  5. Step 5: Solve for x
    x = 3,882,379.34/2,167.35
  6. Step 6: Final answer
    x = 1,791.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.