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Finding the Fourth Proportional to 1,600.62, 2,398.85 and 819.96

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Solution

The fourth proportional to 1,600.62, 2,398.85 and 819.96 is: 1,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.62 : 2,398.85 = 819.96 : x
  2. Step 2: Convert to fraction form
    1,600.62/2,398.85 = 819.96/x
  3. Step 3: Cross multiply
    1,600.62x = 2,398.85 × 819.96
  4. Step 4: Simplify right side
    1,600.62x = 1,966,956.95
  5. Step 5: Solve for x
    x = 1,966,956.95/1,600.62
  6. Step 6: Final answer
    x = 1,228.87

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