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Finding the Fourth Proportional to 1,997.08, 2,756.22 and 1,211.08

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Solution

The fourth proportional to 1,997.08, 2,756.22 and 1,211.08 is: 1,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.08 : 2,756.22 = 1,211.08 : x
  2. Step 2: Convert to fraction form
    1,997.08/2,756.22 = 1,211.08/x
  3. Step 3: Cross multiply
    1,997.08x = 2,756.22 × 1,211.08
  4. Step 4: Simplify right side
    1,997.08x = 3,338,002.92
  5. Step 5: Solve for x
    x = 3,338,002.92/1,997.08
  6. Step 6: Final answer
    x = 1,671.44

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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.