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Finding the Fourth Proportional to 2,267, 3,400.08 and 806.12

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Solution

The fourth proportional to 2,267, 3,400.08 and 806.12 is: 1,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267 : 3,400.08 = 806.12 : x
  2. Step 2: Convert to fraction form
    2,267/3,400.08 = 806.12/x
  3. Step 3: Cross multiply
    2,267x = 3,400.08 × 806.12
  4. Step 4: Simplify right side
    2,267x = 2,740,872.49
  5. Step 5: Solve for x
    x = 2,740,872.49/2,267
  6. Step 6: Final answer
    x = 1,209.03

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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.