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Finding the Fourth Proportional to 1,997.68, 2,756.84 and 1,211.64

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Solution

The fourth proportional to 1,997.68, 2,756.84 and 1,211.64 is: 1,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.68 : 2,756.84 = 1,211.64 : x
  2. Step 2: Convert to fraction form
    1,997.68/2,756.84 = 1,211.64/x
  3. Step 3: Cross multiply
    1,997.68x = 2,756.84 × 1,211.64
  4. Step 4: Simplify right side
    1,997.68x = 3,340,297.62
  5. Step 5: Solve for x
    x = 3,340,297.62/1,997.68
  6. Step 6: Final answer
    x = 1,672.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.