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Finding the Fourth Proportional to 2,574.48, 3,861.99 and 819.62

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Solution

The fourth proportional to 2,574.48, 3,861.99 and 819.62 is: 1,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.48 : 3,861.99 = 819.62 : x
  2. Step 2: Convert to fraction form
    2,574.48/3,861.99 = 819.62/x
  3. Step 3: Cross multiply
    2,574.48x = 3,861.99 × 819.62
  4. Step 4: Simplify right side
    2,574.48x = 3,165,344.93
  5. Step 5: Solve for x
    x = 3,165,344.93/2,574.48
  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.