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Finding the Fourth Proportional to 2,000.20, 2,997.10 and 1,673.80

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Solution

The fourth proportional to 2,000.20, 2,997.10 and 1,673.80 is: 2,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.20 : 2,997.10 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    2,000.20/2,997.10 = 1,673.80/x
  3. Step 3: Cross multiply
    2,000.20x = 2,997.10 × 1,673.80
  4. Step 4: Simplify right side
    2,000.20x = 5,016,545.98
  5. Step 5: Solve for x
    x = 5,016,545.98/2,000.20
  6. Step 6: Final answer
    x = 2,508.02

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1.5x scale

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.