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Finding the Fourth Proportional to 1,607.80, 2,413.74 and 1,242.82

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Solution

The fourth proportional to 1,607.80, 2,413.74 and 1,242.82 is: 1,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.80 : 2,413.74 = 1,242.82 : x
  2. Step 2: Convert to fraction form
    1,607.80/2,413.74 = 1,242.82/x
  3. Step 3: Cross multiply
    1,607.80x = 2,413.74 × 1,242.82
  4. Step 4: Simplify right side
    1,607.80x = 2,999,826.06
  5. Step 5: Solve for x
    x = 2,999,826.06/1,607.80
  6. Step 6: Final answer
    x = 1,865.80

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