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Finding the Fourth Proportional to 2,503.62, 3,754.26 and 943.56

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Solution

The fourth proportional to 2,503.62, 3,754.26 and 943.56 is: 1,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.62 : 3,754.26 = 943.56 : x
  2. Step 2: Convert to fraction form
    2,503.62/3,754.26 = 943.56/x
  3. Step 3: Cross multiply
    2,503.62x = 3,754.26 × 943.56
  4. Step 4: Simplify right side
    2,503.62x = 3,542,369.57
  5. Step 5: Solve for x
    x = 3,542,369.57/2,503.62
  6. Step 6: Final answer
    x = 1,414.90

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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.