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Finding the Fourth Proportional to 3,193.82, 4,793.61 and 1,634.90

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Solution

The fourth proportional to 3,193.82, 4,793.61 and 1,634.90 is: 2,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.82 : 4,793.61 = 1,634.90 : x
  2. Step 2: Convert to fraction form
    3,193.82/4,793.61 = 1,634.90/x
  3. Step 3: Cross multiply
    3,193.82x = 4,793.61 × 1,634.90
  4. Step 4: Simplify right side
    3,193.82x = 7,837,049.02
  5. Step 5: Solve for x
    x = 7,837,049.02/3,193.82
  6. Step 6: Final answer
    x = 2,453.82

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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.