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Finding the Fourth Proportional to 2,413.64, 3,616.68 and 1,926.56

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Solution

The fourth proportional to 2,413.64, 3,616.68 and 1,926.56 is: 2,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.64 : 3,616.68 = 1,926.56 : x
  2. Step 2: Convert to fraction form
    2,413.64/3,616.68 = 1,926.56/x
  3. Step 3: Cross multiply
    2,413.64x = 3,616.68 × 1,926.56
  4. Step 4: Simplify right side
    2,413.64x = 6,967,751.02
  5. Step 5: Solve for x
    x = 6,967,751.02/2,413.64
  6. Step 6: Final answer
    x = 2,886.82

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