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Finding the Fourth Proportional to 2,267.39, 3,401.36 and 806.69

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Solution

The fourth proportional to 2,267.39, 3,401.36 and 806.69 is: 1,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.39 : 3,401.36 = 806.69 : x
  2. Step 2: Convert to fraction form
    2,267.39/3,401.36 = 806.69/x
  3. Step 3: Cross multiply
    2,267.39x = 3,401.36 × 806.69
  4. Step 4: Simplify right side
    2,267.39x = 2,743,843.10
  5. Step 5: Solve for x
    x = 2,743,843.10/2,267.39
  6. Step 6: Final answer
    x = 1,210.13

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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.