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Finding the Fourth Proportional to 3,227.91, 4,454.56 and 1,811.90

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Solution

The fourth proportional to 3,227.91, 4,454.56 and 1,811.90 is: 2,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.91 : 4,454.56 = 1,811.90 : x
  2. Step 2: Convert to fraction form
    3,227.91/4,454.56 = 1,811.90/x
  3. Step 3: Cross multiply
    3,227.91x = 4,454.56 × 1,811.90
  4. Step 4: Simplify right side
    3,227.91x = 8,071,230.67
  5. Step 5: Solve for x
    x = 8,071,230.67/3,227.91
  6. Step 6: Final answer
    x = 2,500.45

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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.