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Finding the Fourth Proportional to 2,000.89, 3,002.33 and 960.72

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Solution

The fourth proportional to 2,000.89, 3,002.33 and 960.72 is: 1,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.89 : 3,002.33 = 960.72 : x
  2. Step 2: Convert to fraction form
    2,000.89/3,002.33 = 960.72/x
  3. Step 3: Cross multiply
    2,000.89x = 3,002.33 × 960.72
  4. Step 4: Simplify right side
    2,000.89x = 2,884,398.48
  5. Step 5: Solve for x
    x = 2,884,398.48/2,000.89
  6. Step 6: Final answer
    x = 1,441.56

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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.