Home / 1,434.38-2,151.92-408.38

Finding the Fourth Proportional to 1,434.38, 2,151.92 and 408.38

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Solution

The fourth proportional to 1,434.38, 2,151.92 and 408.38 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.38 : 2,151.92 = 408.38 : x
  2. Step 2: Convert to fraction form
    1,434.38/2,151.92 = 408.38/x
  3. Step 3: Cross multiply
    1,434.38x = 2,151.92 × 408.38
  4. Step 4: Simplify right side
    1,434.38x = 878,791.35
  5. Step 5: Solve for x
    x = 878,791.35/1,434.38
  6. Step 6: Final answer
    x = 612.66

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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.