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Finding the Fourth Proportional to 1,994.78, 2,754.03 and 1,286.97

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Solution

The fourth proportional to 1,994.78, 2,754.03 and 1,286.97 is: 1,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.78 : 2,754.03 = 1,286.97 : x
  2. Step 2: Convert to fraction form
    1,994.78/2,754.03 = 1,286.97/x
  3. Step 3: Cross multiply
    1,994.78x = 2,754.03 × 1,286.97
  4. Step 4: Simplify right side
    1,994.78x = 3,544,353.99
  5. Step 5: Solve for x
    x = 3,544,353.99/1,994.78
  6. Step 6: Final answer
    x = 1,776.82

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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.