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Finding the Fourth Proportional to 2,574, 3,861.12 and 819.14

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Solution

The fourth proportional to 2,574, 3,861.12 and 819.14 is: 1,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,861.12 = 819.14 : x
  2. Step 2: Convert to fraction form
    2,574/3,861.12 = 819.14/x
  3. Step 3: Cross multiply
    2,574x = 3,861.12 × 819.14
  4. Step 4: Simplify right side
    2,574x = 3,162,778.53
  5. Step 5: Solve for x
    x = 3,162,778.53/2,574
  6. Step 6: Final answer
    x = 1,228.74

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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.