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Finding the Fourth Proportional to 2,667.72, 4,002.12 and 937.56

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Solution

The fourth proportional to 2,667.72, 4,002.12 and 937.56 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.72 : 4,002.12 = 937.56 : x
  2. Step 2: Convert to fraction form
    2,667.72/4,002.12 = 937.56/x
  3. Step 3: Cross multiply
    2,667.72x = 4,002.12 × 937.56
  4. Step 4: Simplify right side
    2,667.72x = 3,752,227.63
  5. Step 5: Solve for x
    x = 3,752,227.63/2,667.72
  6. Step 6: Final answer
    x = 1,406.53

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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.