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Finding the Fourth Proportional to 3,273.42, 4,517.97 and 1,946.86

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Solution

The fourth proportional to 3,273.42, 4,517.97 and 1,946.86 is: 2,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.42 : 4,517.97 = 1,946.86 : x
  2. Step 2: Convert to fraction form
    3,273.42/4,517.97 = 1,946.86/x
  3. Step 3: Cross multiply
    3,273.42x = 4,517.97 × 1,946.86
  4. Step 4: Simplify right side
    3,273.42x = 8,795,855.07
  5. Step 5: Solve for x
    x = 8,795,855.07/3,273.42
  6. Step 6: Final answer
    x = 2,687.05

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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.