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Finding the Fourth Proportional to 1,608.22, 2,413.14 and 1,259.38

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Solution

The fourth proportional to 1,608.22, 2,413.14 and 1,259.38 is: 1,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.22 : 2,413.14 = 1,259.38 : x
  2. Step 2: Convert to fraction form
    1,608.22/2,413.14 = 1,259.38/x
  3. Step 3: Cross multiply
    1,608.22x = 2,413.14 × 1,259.38
  4. Step 4: Simplify right side
    1,608.22x = 3,039,060.25
  5. Step 5: Solve for x
    x = 3,039,060.25/1,608.22
  6. Step 6: Final answer
    x = 1,889.70

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