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Finding the Fourth Proportional to 1,982.67, 2,975.06 and 942.02

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Solution

The fourth proportional to 1,982.67, 2,975.06 and 942.02 is: 1,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.67 : 2,975.06 = 942.02 : x
  2. Step 2: Convert to fraction form
    1,982.67/2,975.06 = 942.02/x
  3. Step 3: Cross multiply
    1,982.67x = 2,975.06 × 942.02
  4. Step 4: Simplify right side
    1,982.67x = 2,802,566.02
  5. Step 5: Solve for x
    x = 2,802,566.02/1,982.67
  6. Step 6: Final answer
    x = 1,413.53

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Why These Related Problems?

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