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Finding the Fourth Proportional to 1,734.57, 2,600.61 and 809.62

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Solution

The fourth proportional to 1,734.57, 2,600.61 and 809.62 is: 1,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.57 : 2,600.61 = 809.62 : x
  2. Step 2: Convert to fraction form
    1,734.57/2,600.61 = 809.62/x
  3. Step 3: Cross multiply
    1,734.57x = 2,600.61 × 809.62
  4. Step 4: Simplify right side
    1,734.57x = 2,105,505.87
  5. Step 5: Solve for x
    x = 2,105,505.87/1,734.57
  6. Step 6: Final answer
    x = 1,213.85

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