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Finding the Fourth Proportional to 2,112.40, 3,168.80 and 942.26

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Solution

The fourth proportional to 2,112.40, 3,168.80 and 942.26 is: 1,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.40 : 3,168.80 = 942.26 : x
  2. Step 2: Convert to fraction form
    2,112.40/3,168.80 = 942.26/x
  3. Step 3: Cross multiply
    2,112.40x = 3,168.80 × 942.26
  4. Step 4: Simplify right side
    2,112.40x = 2,985,833.49
  5. Step 5: Solve for x
    x = 2,985,833.49/2,112.40
  6. Step 6: Final answer
    x = 1,413.48

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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.