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Finding the Fourth Proportional to 3,246.67, 4,481.90 and 1,902.09

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Solution

The fourth proportional to 3,246.67, 4,481.90 and 1,902.09 is: 2,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.67 : 4,481.90 = 1,902.09 : x
  2. Step 2: Convert to fraction form
    3,246.67/4,481.90 = 1,902.09/x
  3. Step 3: Cross multiply
    3,246.67x = 4,481.90 × 1,902.09
  4. Step 4: Simplify right side
    3,246.67x = 8,524,991.60
  5. Step 5: Solve for x
    x = 8,524,991.60/3,246.67
  6. Step 6: Final answer
    x = 2,625.76

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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.