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Finding the Fourth Proportional to 1,608.29, 2,413.80 and 1,147.20

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Solution

The fourth proportional to 1,608.29, 2,413.80 and 1,147.20 is: 1,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.29 : 2,413.80 = 1,147.20 : x
  2. Step 2: Convert to fraction form
    1,608.29/2,413.80 = 1,147.20/x
  3. Step 3: Cross multiply
    1,608.29x = 2,413.80 × 1,147.20
  4. Step 4: Simplify right side
    1,608.29x = 2,769,093.56
  5. Step 5: Solve for x
    x = 2,769,093.56/1,608.29
  6. Step 6: Final answer
    x = 1,721.77

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