Home / 2,227.17-3,342.62-767.35

Finding the Fourth Proportional to 2,227.17, 3,342.62 and 767.35

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Solution

The fourth proportional to 2,227.17, 3,342.62 and 767.35 is: 1,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.17 : 3,342.62 = 767.35 : x
  2. Step 2: Convert to fraction form
    2,227.17/3,342.62 = 767.35/x
  3. Step 3: Cross multiply
    2,227.17x = 3,342.62 × 767.35
  4. Step 4: Simplify right side
    2,227.17x = 2,564,947.26
  5. Step 5: Solve for x
    x = 2,564,947.26/2,227.17
  6. Step 6: Final answer
    x = 1,151.66

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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.