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Finding the Fourth Proportional to 1,996.62, 2,997.06 and 1,766.97

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Solution

The fourth proportional to 1,996.62, 2,997.06 and 1,766.97 is: 2,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.62 : 2,997.06 = 1,766.97 : x
  2. Step 2: Convert to fraction form
    1,996.62/2,997.06 = 1,766.97/x
  3. Step 3: Cross multiply
    1,996.62x = 2,997.06 × 1,766.97
  4. Step 4: Simplify right side
    1,996.62x = 5,295,715.11
  5. Step 5: Solve for x
    x = 5,295,715.11/1,996.62
  6. Step 6: Final answer
    x = 2,652.34

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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.