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Finding the Fourth Proportional to 2,754.47, 3,799.89 and 1,634.77

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Solution

The fourth proportional to 2,754.47, 3,799.89 and 1,634.77 is: 2,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.47 : 3,799.89 = 1,634.77 : x
  2. Step 2: Convert to fraction form
    2,754.47/3,799.89 = 1,634.77/x
  3. Step 3: Cross multiply
    2,754.47x = 3,799.89 × 1,634.77
  4. Step 4: Simplify right side
    2,754.47x = 6,211,936.68
  5. Step 5: Solve for x
    x = 6,211,936.68/2,754.47
  6. Step 6: Final answer
    x = 2,255.22

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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.