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Finding the Fourth Proportional to 1,609.38, 2,408.00 and 1,062.23

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Solution

The fourth proportional to 1,609.38, 2,408.00 and 1,062.23 is: 1,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.38 : 2,408.00 = 1,062.23 : x
  2. Step 2: Convert to fraction form
    1,609.38/2,408.00 = 1,062.23/x
  3. Step 3: Cross multiply
    1,609.38x = 2,408.00 × 1,062.23
  4. Step 4: Simplify right side
    1,609.38x = 2,557,832.49
  5. Step 5: Solve for x
    x = 2,557,832.49/1,609.38
  6. Step 6: Final answer
    x = 1,589.33

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