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Finding the Fourth Proportional to 2,754.28, 3,800.28 and 1,634.64

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Solution

The fourth proportional to 2,754.28, 3,800.28 and 1,634.64 is: 2,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.28 : 3,800.28 = 1,634.64 : x
  2. Step 2: Convert to fraction form
    2,754.28/3,800.28 = 1,634.64/x
  3. Step 3: Cross multiply
    2,754.28x = 3,800.28 × 1,634.64
  4. Step 4: Simplify right side
    2,754.28x = 6,212,089.70
  5. Step 5: Solve for x
    x = 6,212,089.70/2,754.28
  6. Step 6: Final answer
    x = 2,255.43

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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.