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Finding the Fourth Proportional to 3,194.33, 4,791.52 and 1,114.33

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Solution

The fourth proportional to 3,194.33, 4,791.52 and 1,114.33 is: 1,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.33 : 4,791.52 = 1,114.33 : x
  2. Step 2: Convert to fraction form
    3,194.33/4,791.52 = 1,114.33/x
  3. Step 3: Cross multiply
    3,194.33x = 4,791.52 × 1,114.33
  4. Step 4: Simplify right side
    3,194.33x = 5,339,311.33
  5. Step 5: Solve for x
    x = 5,339,311.33/3,194.33
  6. Step 6: Final answer
    x = 1,671.50

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Why These Related Problems?

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