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Finding the Fourth Proportional to 1,982.06, 2,972.21 and 942.36

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Solution

The fourth proportional to 1,982.06, 2,972.21 and 942.36 is: 1,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.06 : 2,972.21 = 942.36 : x
  2. Step 2: Convert to fraction form
    1,982.06/2,972.21 = 942.36/x
  3. Step 3: Cross multiply
    1,982.06x = 2,972.21 × 942.36
  4. Step 4: Simplify right side
    1,982.06x = 2,800,891.82
  5. Step 5: Solve for x
    x = 2,800,891.82/1,982.06
  6. Step 6: Final answer
    x = 1,413.12

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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.