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Finding the Fourth Proportional to 3,257.95, 4,494.97 and 1,997.00

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Solution

The fourth proportional to 3,257.95, 4,494.97 and 1,997.00 is: 2,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.95 : 4,494.97 = 1,997.00 : x
  2. Step 2: Convert to fraction form
    3,257.95/4,494.97 = 1,997.00/x
  3. Step 3: Cross multiply
    3,257.95x = 4,494.97 × 1,997.00
  4. Step 4: Simplify right side
    3,257.95x = 8,976,471.64
  5. Step 5: Solve for x
    x = 8,976,471.64/3,257.95
  6. Step 6: Final answer
    x = 2,755.25

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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.