Home / 2,227.12-3,340.45-766.38

Finding the Fourth Proportional to 2,227.12, 3,340.45 and 766.38

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Solution

The fourth proportional to 2,227.12, 3,340.45 and 766.38 is: 1,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.12 : 3,340.45 = 766.38 : x
  2. Step 2: Convert to fraction form
    2,227.12/3,340.45 = 766.38/x
  3. Step 3: Cross multiply
    2,227.12x = 3,340.45 × 766.38
  4. Step 4: Simplify right side
    2,227.12x = 2,560,054.07
  5. Step 5: Solve for x
    x = 2,560,054.07/2,227.12
  6. Step 6: Final answer
    x = 1,149.49

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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.