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Finding the Fourth Proportional to 2,241.02, 3,360.93 and 942.19

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Solution

The fourth proportional to 2,241.02, 3,360.93 and 942.19 is: 1,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.02 : 3,360.93 = 942.19 : x
  2. Step 2: Convert to fraction form
    2,241.02/3,360.93 = 942.19/x
  3. Step 3: Cross multiply
    2,241.02x = 3,360.93 × 942.19
  4. Step 4: Simplify right side
    2,241.02x = 3,166,622.70
  5. Step 5: Solve for x
    x = 3,166,622.70/2,241.02
  6. Step 6: Final answer
    x = 1,413.03

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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.