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Finding the Fourth Proportional to 2,549.91, 3,824.86 and 819.75

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Solution

The fourth proportional to 2,549.91, 3,824.86 and 819.75 is: 1,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.91 : 3,824.86 = 819.75 : x
  2. Step 2: Convert to fraction form
    2,549.91/3,824.86 = 819.75/x
  3. Step 3: Cross multiply
    2,549.91x = 3,824.86 × 819.75
  4. Step 4: Simplify right side
    2,549.91x = 3,135,428.99
  5. Step 5: Solve for x
    x = 3,135,428.99/2,549.91
  6. Step 6: Final answer
    x = 1,229.62

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