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Finding the Fourth Proportional to 2,463.42, 3,693.90 and 819.39

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Solution

The fourth proportional to 2,463.42, 3,693.90 and 819.39 is: 1,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.42 : 3,693.90 = 819.39 : x
  2. Step 2: Convert to fraction form
    2,463.42/3,693.90 = 819.39/x
  3. Step 3: Cross multiply
    2,463.42x = 3,693.90 × 819.39
  4. Step 4: Simplify right side
    2,463.42x = 3,026,744.72
  5. Step 5: Solve for x
    x = 3,026,744.72/2,463.42
  6. Step 6: Final answer
    x = 1,228.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.