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Finding the Fourth Proportional to 2,241.48, 3,361.48 and 942.68

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Solution

The fourth proportional to 2,241.48, 3,361.48 and 942.68 is: 1,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.48 : 3,361.48 = 942.68 : x
  2. Step 2: Convert to fraction form
    2,241.48/3,361.48 = 942.68/x
  3. Step 3: Cross multiply
    2,241.48x = 3,361.48 × 942.68
  4. Step 4: Simplify right side
    2,241.48x = 3,168,799.97
  5. Step 5: Solve for x
    x = 3,168,799.97/2,241.48
  6. Step 6: Final answer
    x = 1,413.71

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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.