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Finding the Fourth Proportional to 2,000.85, 2,996.92 and 1,650.25

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Solution

The fourth proportional to 2,000.85, 2,996.92 and 1,650.25 is: 2,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.85 : 2,996.92 = 1,650.25 : x
  2. Step 2: Convert to fraction form
    2,000.85/2,996.92 = 1,650.25/x
  3. Step 3: Cross multiply
    2,000.85x = 2,996.92 × 1,650.25
  4. Step 4: Simplify right side
    2,000.85x = 4,945,667.23
  5. Step 5: Solve for x
    x = 4,945,667.23/2,000.85
  6. Step 6: Final answer
    x = 2,471.78

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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.