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Finding the Fourth Proportional to 1,600.89, 2,396.16 and 1,449.33

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Solution

The fourth proportional to 1,600.89, 2,396.16 and 1,449.33 is: 2,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.89 : 2,396.16 = 1,449.33 : x
  2. Step 2: Convert to fraction form
    1,600.89/2,396.16 = 1,449.33/x
  3. Step 3: Cross multiply
    1,600.89x = 2,396.16 × 1,449.33
  4. Step 4: Simplify right side
    1,600.89x = 3,472,826.57
  5. Step 5: Solve for x
    x = 3,472,826.57/1,600.89
  6. Step 6: Final answer
    x = 2,169.31

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