Home / 2,267.20-3,399.62-806.14

Finding the Fourth Proportional to 2,267.20, 3,399.62 and 806.14

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Solution

The fourth proportional to 2,267.20, 3,399.62 and 806.14 is: 1,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.20 : 3,399.62 = 806.14 : x
  2. Step 2: Convert to fraction form
    2,267.20/3,399.62 = 806.14/x
  3. Step 3: Cross multiply
    2,267.20x = 3,399.62 × 806.14
  4. Step 4: Simplify right side
    2,267.20x = 2,740,569.67
  5. Step 5: Solve for x
    x = 2,740,569.67/2,267.20
  6. Step 6: Final answer
    x = 1,208.79

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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.