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Finding the Fourth Proportional to 3,194.44, 4,791.70 and 1,114.49

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Solution

The fourth proportional to 3,194.44, 4,791.70 and 1,114.49 is: 1,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.44 : 4,791.70 = 1,114.49 : x
  2. Step 2: Convert to fraction form
    3,194.44/4,791.70 = 1,114.49/x
  3. Step 3: Cross multiply
    3,194.44x = 4,791.70 × 1,114.49
  4. Step 4: Simplify right side
    3,194.44x = 5,340,301.73
  5. Step 5: Solve for x
    x = 5,340,301.73/3,194.44
  6. Step 6: Final answer
    x = 1,671.75

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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.