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Finding the Fourth Proportional to 1,600.23, 2,405.23 and 1,169.31

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Solution

The fourth proportional to 1,600.23, 2,405.23 and 1,169.31 is: 1,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.23 : 2,405.23 = 1,169.31 : x
  2. Step 2: Convert to fraction form
    1,600.23/2,405.23 = 1,169.31/x
  3. Step 3: Cross multiply
    1,600.23x = 2,405.23 × 1,169.31
  4. Step 4: Simplify right side
    1,600.23x = 2,812,453.64
  5. Step 5: Solve for x
    x = 2,812,453.64/1,600.23
  6. Step 6: Final answer
    x = 1,757.53

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