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Finding the Fourth Proportional to 2,267.46, 3,400.11 and 806.22

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Solution

The fourth proportional to 2,267.46, 3,400.11 and 806.22 is: 1,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.46 : 3,400.11 = 806.22 : x
  2. Step 2: Convert to fraction form
    2,267.46/3,400.11 = 806.22/x
  3. Step 3: Cross multiply
    2,267.46x = 3,400.11 × 806.22
  4. Step 4: Simplify right side
    2,267.46x = 2,741,236.68
  5. Step 5: Solve for x
    x = 2,741,236.68/2,267.46
  6. Step 6: Final answer
    x = 1,208.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.