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Finding the Fourth Proportional to 2,240.88, 3,361.32 and 943.26

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Solution

The fourth proportional to 2,240.88, 3,361.32 and 943.26 is: 1,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.88 : 3,361.32 = 943.26 : x
  2. Step 2: Convert to fraction form
    2,240.88/3,361.32 = 943.26/x
  3. Step 3: Cross multiply
    2,240.88x = 3,361.32 × 943.26
  4. Step 4: Simplify right side
    2,240.88x = 3,170,598.70
  5. Step 5: Solve for x
    x = 3,170,598.70/2,240.88
  6. Step 6: Final answer
    x = 1,414.89

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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.