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Finding the Fourth Proportional to 2,067.04, 3,101.28 and 768.70

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Solution

The fourth proportional to 2,067.04, 3,101.28 and 768.70 is: 1,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.04 : 3,101.28 = 768.70 : x
  2. Step 2: Convert to fraction form
    2,067.04/3,101.28 = 768.70/x
  3. Step 3: Cross multiply
    2,067.04x = 3,101.28 × 768.70
  4. Step 4: Simplify right side
    2,067.04x = 2,383,953.94
  5. Step 5: Solve for x
    x = 2,383,953.94/2,067.04
  6. Step 6: Final answer
    x = 1,153.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.