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Finding the Fourth Proportional to 2,481.37, 3,721.94 and 942.25

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Solution

The fourth proportional to 2,481.37, 3,721.94 and 942.25 is: 1,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.37 : 3,721.94 = 942.25 : x
  2. Step 2: Convert to fraction form
    2,481.37/3,721.94 = 942.25/x
  3. Step 3: Cross multiply
    2,481.37x = 3,721.94 × 942.25
  4. Step 4: Simplify right side
    2,481.37x = 3,506,993.25
  5. Step 5: Solve for x
    x = 3,506,993.25/2,481.37
  6. Step 6: Final answer
    x = 1,413.33

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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.