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Finding the Fourth Proportional to 2,754.09, 3,800.39 and 2,231.37

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Solution

The fourth proportional to 2,754.09, 3,800.39 and 2,231.37 is: 3,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.09 : 3,800.39 = 2,231.37 : x
  2. Step 2: Convert to fraction form
    2,754.09/3,800.39 = 2,231.37/x
  3. Step 3: Cross multiply
    2,754.09x = 3,800.39 × 2,231.37
  4. Step 4: Simplify right side
    2,754.09x = 8,480,065.08
  5. Step 5: Solve for x
    x = 8,480,065.08/2,754.09
  6. Step 6: Final answer
    x = 3,079.08

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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.