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Finding the Fourth Proportional to 2,001.39, 2,996.83 and 1,413.22

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Solution

The fourth proportional to 2,001.39, 2,996.83 and 1,413.22 is: 2,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.39 : 2,996.83 = 1,413.22 : x
  2. Step 2: Convert to fraction form
    2,001.39/2,996.83 = 1,413.22/x
  3. Step 3: Cross multiply
    2,001.39x = 2,996.83 × 1,413.22
  4. Step 4: Simplify right side
    2,001.39x = 4,235,180.09
  5. Step 5: Solve for x
    x = 4,235,180.09/2,001.39
  6. Step 6: Final answer
    x = 2,116.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.