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Finding the Fourth Proportional to 2,463.14, 3,693.91 and 819.24

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Solution

The fourth proportional to 2,463.14, 3,693.91 and 819.24 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.14 : 3,693.91 = 819.24 : x
  2. Step 2: Convert to fraction form
    2,463.14/3,693.91 = 819.24/x
  3. Step 3: Cross multiply
    2,463.14x = 3,693.91 × 819.24
  4. Step 4: Simplify right side
    2,463.14x = 3,026,207.55
  5. Step 5: Solve for x
    x = 3,026,207.55/2,463.14
  6. Step 6: Final answer
    x = 1,228.60

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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.