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Finding the Fourth Proportional to 2,972.67, 4,458.91 and 1,413.80

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Solution

The fourth proportional to 2,972.67, 4,458.91 and 1,413.80 is: 2,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.67 : 4,458.91 = 1,413.80 : x
  2. Step 2: Convert to fraction form
    2,972.67/4,458.91 = 1,413.80/x
  3. Step 3: Cross multiply
    2,972.67x = 4,458.91 × 1,413.80
  4. Step 4: Simplify right side
    2,972.67x = 6,304,006.96
  5. Step 5: Solve for x
    x = 6,304,006.96/2,972.67
  6. Step 6: Final answer
    x = 2,120.65

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