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Finding the Fourth Proportional to 3,227.64, 4,453.94 and 1,811.48

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Solution

The fourth proportional to 3,227.64, 4,453.94 and 1,811.48 is: 2,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.64 : 4,453.94 = 1,811.48 : x
  2. Step 2: Convert to fraction form
    3,227.64/4,453.94 = 1,811.48/x
  3. Step 3: Cross multiply
    3,227.64x = 4,453.94 × 1,811.48
  4. Step 4: Simplify right side
    3,227.64x = 8,068,223.23
  5. Step 5: Solve for x
    x = 8,068,223.23/3,227.64
  6. Step 6: Final answer
    x = 2,499.73

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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.