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Finding the Fourth Proportional to 1,608.83, 2,413.04 and 684.21

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Solution

The fourth proportional to 1,608.83, 2,413.04 and 684.21 is: 1,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.83 : 2,413.04 = 684.21 : x
  2. Step 2: Convert to fraction form
    1,608.83/2,413.04 = 684.21/x
  3. Step 3: Cross multiply
    1,608.83x = 2,413.04 × 684.21
  4. Step 4: Simplify right side
    1,608.83x = 1,651,022.68
  5. Step 5: Solve for x
    x = 1,651,022.68/1,608.83
  6. Step 6: Final answer
    x = 1,026.23

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