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Finding the Fourth Proportional to 3,194.73, 4,791.80 and 1,114.38

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Solution

The fourth proportional to 3,194.73, 4,791.80 and 1,114.38 is: 1,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.73 : 4,791.80 = 1,114.38 : x
  2. Step 2: Convert to fraction form
    3,194.73/4,791.80 = 1,114.38/x
  3. Step 3: Cross multiply
    3,194.73x = 4,791.80 × 1,114.38
  4. Step 4: Simplify right side
    3,194.73x = 5,339,886.08
  5. Step 5: Solve for x
    x = 5,339,886.08/3,194.73
  6. Step 6: Final answer
    x = 1,671.47

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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.