Home / 2,767.32-4,151.66-819.54

Finding the Fourth Proportional to 2,767.32, 4,151.66 and 819.54

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Solution

The fourth proportional to 2,767.32, 4,151.66 and 819.54 is: 1,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.32 : 4,151.66 = 819.54 : x
  2. Step 2: Convert to fraction form
    2,767.32/4,151.66 = 819.54/x
  3. Step 3: Cross multiply
    2,767.32x = 4,151.66 × 819.54
  4. Step 4: Simplify right side
    2,767.32x = 3,402,447.34
  5. Step 5: Solve for x
    x = 3,402,447.34/2,767.32
  6. Step 6: Final answer
    x = 1,229.51

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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.