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Finding the Fourth Proportional to 1,609.31, 2,413.79 and 1,092.64

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Solution

The fourth proportional to 1,609.31, 2,413.79 and 1,092.64 is: 1,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.31 : 2,413.79 = 1,092.64 : x
  2. Step 2: Convert to fraction form
    1,609.31/2,413.79 = 1,092.64/x
  3. Step 3: Cross multiply
    1,609.31x = 2,413.79 × 1,092.64
  4. Step 4: Simplify right side
    1,609.31x = 2,637,391.44
  5. Step 5: Solve for x
    x = 2,637,391.44/1,609.31
  6. Step 6: Final answer
    x = 1,638.83

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