Home / 2,767.09-4,151.24-819.44

Finding the Fourth Proportional to 2,767.09, 4,151.24 and 819.44

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Solution

The fourth proportional to 2,767.09, 4,151.24 and 819.44 is: 1,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.09 : 4,151.24 = 819.44 : x
  2. Step 2: Convert to fraction form
    2,767.09/4,151.24 = 819.44/x
  3. Step 3: Cross multiply
    2,767.09x = 4,151.24 × 819.44
  4. Step 4: Simplify right side
    2,767.09x = 3,401,711.55
  5. Step 5: Solve for x
    x = 3,401,711.55/2,767.09
  6. Step 6: Final answer
    x = 1,229.35

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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.