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Finding the Fourth Proportional to 3,227.45, 4,453.94 and 1,811.45

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Solution

The fourth proportional to 3,227.45, 4,453.94 and 1,811.45 is: 2,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.45 : 4,453.94 = 1,811.45 : x
  2. Step 2: Convert to fraction form
    3,227.45/4,453.94 = 1,811.45/x
  3. Step 3: Cross multiply
    3,227.45x = 4,453.94 × 1,811.45
  4. Step 4: Simplify right side
    3,227.45x = 8,068,080.56
  5. Step 5: Solve for x
    x = 8,068,080.56/3,227.45
  6. Step 6: Final answer
    x = 2,499.83

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1.5x scale

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.