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Finding the Fourth Proportional to 2,462.35, 3,694.06 and 819.06

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Solution

The fourth proportional to 2,462.35, 3,694.06 and 819.06 is: 1,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.35 : 3,694.06 = 819.06 : x
  2. Step 2: Convert to fraction form
    2,462.35/3,694.06 = 819.06/x
  3. Step 3: Cross multiply
    2,462.35x = 3,694.06 × 819.06
  4. Step 4: Simplify right side
    2,462.35x = 3,025,660.13
  5. Step 5: Solve for x
    x = 3,025,660.13/2,462.35
  6. Step 6: Final answer
    x = 1,228.77

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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.