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Finding the Fourth Proportional to 3,194.07, 4,791.12 and 1,114.09

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Solution

The fourth proportional to 3,194.07, 4,791.12 and 1,114.09 is: 1,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.07 : 4,791.12 = 1,114.09 : x
  2. Step 2: Convert to fraction form
    3,194.07/4,791.12 = 1,114.09/x
  3. Step 3: Cross multiply
    3,194.07x = 4,791.12 × 1,114.09
  4. Step 4: Simplify right side
    3,194.07x = 5,337,722.73
  5. Step 5: Solve for x
    x = 5,337,722.73/3,194.07
  6. Step 6: Final answer
    x = 1,671.14

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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.