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Finding the Fourth Proportional to 2,241.42, 3,360.08 and 942.98

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Solution

The fourth proportional to 2,241.42, 3,360.08 and 942.98 is: 1,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.42 : 3,360.08 = 942.98 : x
  2. Step 2: Convert to fraction form
    2,241.42/3,360.08 = 942.98/x
  3. Step 3: Cross multiply
    2,241.42x = 3,360.08 × 942.98
  4. Step 4: Simplify right side
    2,241.42x = 3,168,488.24
  5. Step 5: Solve for x
    x = 3,168,488.24/2,241.42
  6. Step 6: Final answer
    x = 1,413.61

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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.