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Finding the Fourth Proportional to 2,000.67, 2,997.35 and 1,474.88

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Solution

The fourth proportional to 2,000.67, 2,997.35 and 1,474.88 is: 2,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.67 : 2,997.35 = 1,474.88 : x
  2. Step 2: Convert to fraction form
    2,000.67/2,997.35 = 1,474.88/x
  3. Step 3: Cross multiply
    2,000.67x = 2,997.35 × 1,474.88
  4. Step 4: Simplify right side
    2,000.67x = 4,420,723.03
  5. Step 5: Solve for x
    x = 4,420,723.03/2,000.67
  6. Step 6: Final answer
    x = 2,209.63

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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.