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Finding the Fourth Proportional to 2,767.23, 4,150.91 and 819.59

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Solution

The fourth proportional to 2,767.23, 4,150.91 and 819.59 is: 1,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.23 : 4,150.91 = 819.59 : x
  2. Step 2: Convert to fraction form
    2,767.23/4,150.91 = 819.59/x
  3. Step 3: Cross multiply
    2,767.23x = 4,150.91 × 819.59
  4. Step 4: Simplify right side
    2,767.23x = 3,402,025.62
  5. Step 5: Solve for x
    x = 3,402,025.62/2,767.23
  6. Step 6: Final answer
    x = 1,229.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.