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Finding the Fourth Proportional to 2,463.11, 3,693.43 and 819.08

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Solution

The fourth proportional to 2,463.11, 3,693.43 and 819.08 is: 1,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.11 : 3,693.43 = 819.08 : x
  2. Step 2: Convert to fraction form
    2,463.11/3,693.43 = 819.08/x
  3. Step 3: Cross multiply
    2,463.11x = 3,693.43 × 819.08
  4. Step 4: Simplify right side
    2,463.11x = 3,025,214.64
  5. Step 5: Solve for x
    x = 3,025,214.64/2,463.11
  6. Step 6: Final answer
    x = 1,228.21

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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.