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Finding the Fourth Proportional to 2,463.45, 3,693.78 and 819.09

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Solution

The fourth proportional to 2,463.45, 3,693.78 and 819.09 is: 1,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.45 : 3,693.78 = 819.09 : x
  2. Step 2: Convert to fraction form
    2,463.45/3,693.78 = 819.09/x
  3. Step 3: Cross multiply
    2,463.45x = 3,693.78 × 819.09
  4. Step 4: Simplify right side
    2,463.45x = 3,025,538.26
  5. Step 5: Solve for x
    x = 3,025,538.26/2,463.45
  6. Step 6: Final answer
    x = 1,228.17

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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.