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Finding the Fourth Proportional to 3,224.78, 4,449.20 and 1,808.27

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Solution

The fourth proportional to 3,224.78, 4,449.20 and 1,808.27 is: 2,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.78 : 4,449.20 = 1,808.27 : x
  2. Step 2: Convert to fraction form
    3,224.78/4,449.20 = 1,808.27/x
  3. Step 3: Cross multiply
    3,224.78x = 4,449.20 × 1,808.27
  4. Step 4: Simplify right side
    3,224.78x = 8,045,340.28
  5. Step 5: Solve for x
    x = 8,045,340.28/3,224.78
  6. Step 6: Final answer
    x = 2,494.85

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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.