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Finding the Fourth Proportional to 3,227.29, 4,453.12 and 1,811

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Solution

The fourth proportional to 3,227.29, 4,453.12 and 1,811 is: 2,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.29 : 4,453.12 = 1,811 : x
  2. Step 2: Convert to fraction form
    3,227.29/4,453.12 = 1,811/x
  3. Step 3: Cross multiply
    3,227.29x = 4,453.12 × 1,811
  4. Step 4: Simplify right side
    3,227.29x = 8,064,600.32
  5. Step 5: Solve for x
    x = 8,064,600.32/3,227.29
  6. Step 6: Final answer
    x = 2,498.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.