Home / 1,517.67-2,276.52-422.14

Finding the Fourth Proportional to 1,517.67, 2,276.52 and 422.14

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Solution

The fourth proportional to 1,517.67, 2,276.52 and 422.14 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.67 : 2,276.52 = 422.14 : x
  2. Step 2: Convert to fraction form
    1,517.67/2,276.52 = 422.14/x
  3. Step 3: Cross multiply
    1,517.67x = 2,276.52 × 422.14
  4. Step 4: Simplify right side
    1,517.67x = 961,010.15
  5. Step 5: Solve for x
    x = 961,010.15/1,517.67
  6. Step 6: Final answer
    x = 633.21

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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.