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Finding the Fourth Proportional to 2,754.80, 3,797.25 and 2,164.32

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Solution

The fourth proportional to 2,754.80, 3,797.25 and 2,164.32 is: 2,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.80 : 3,797.25 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    2,754.80/3,797.25 = 2,164.32/x
  3. Step 3: Cross multiply
    2,754.80x = 3,797.25 × 2,164.32
  4. Step 4: Simplify right side
    2,754.80x = 8,218,464.12
  5. Step 5: Solve for x
    x = 8,218,464.12/2,754.80
  6. Step 6: Final answer
    x = 2,983.33

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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.