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Finding the Fourth Proportional to 3,273.93, 4,517.94 and 1,781.82

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Solution

The fourth proportional to 3,273.93, 4,517.94 and 1,781.82 is: 2,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.93 : 4,517.94 = 1,781.82 : x
  2. Step 2: Convert to fraction form
    3,273.93/4,517.94 = 1,781.82/x
  3. Step 3: Cross multiply
    3,273.93x = 4,517.94 × 1,781.82
  4. Step 4: Simplify right side
    3,273.93x = 8,050,155.85
  5. Step 5: Solve for x
    x = 8,050,155.85/3,273.93
  6. Step 6: Final answer
    x = 2,458.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.