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Finding the Fourth Proportional to 2,241.69, 3,362.67 and 943.26

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Solution

The fourth proportional to 2,241.69, 3,362.67 and 943.26 is: 1,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.69 : 3,362.67 = 943.26 : x
  2. Step 2: Convert to fraction form
    2,241.69/3,362.67 = 943.26/x
  3. Step 3: Cross multiply
    2,241.69x = 3,362.67 × 943.26
  4. Step 4: Simplify right side
    2,241.69x = 3,171,872.10
  5. Step 5: Solve for x
    x = 3,171,872.10/2,241.69
  6. Step 6: Final answer
    x = 1,414.95

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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.