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Finding the Fourth Proportional to 3,257.12, 4,494.12 and 1,997.84

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Solution

The fourth proportional to 3,257.12, 4,494.12 and 1,997.84 is: 2,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.12 : 4,494.12 = 1,997.84 : x
  2. Step 2: Convert to fraction form
    3,257.12/4,494.12 = 1,997.84/x
  3. Step 3: Cross multiply
    3,257.12x = 4,494.12 × 1,997.84
  4. Step 4: Simplify right side
    3,257.12x = 8,978,532.70
  5. Step 5: Solve for x
    x = 8,978,532.70/3,257.12
  6. Step 6: Final answer
    x = 2,756.59

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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.