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Finding the Fourth Proportional to 3,449.80, 4,761.48 and 2,271

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Solution

The fourth proportional to 3,449.80, 4,761.48 and 2,271 is: 3,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.80 : 4,761.48 = 2,271 : x
  2. Step 2: Convert to fraction form
    3,449.80/4,761.48 = 2,271/x
  3. Step 3: Cross multiply
    3,449.80x = 4,761.48 × 2,271
  4. Step 4: Simplify right side
    3,449.80x = 10,813,321.08
  5. Step 5: Solve for x
    x = 10,813,321.08/3,449.80
  6. Step 6: Final answer
    x = 3,134.48

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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.