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Finding the Fourth Proportional to 2,067.88, 3,101 and 897.70

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Solution

The fourth proportional to 2,067.88, 3,101 and 897.70 is: 1,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.88 : 3,101 = 897.70 : x
  2. Step 2: Convert to fraction form
    2,067.88/3,101 = 897.70/x
  3. Step 3: Cross multiply
    2,067.88x = 3,101 × 897.70
  4. Step 4: Simplify right side
    2,067.88x = 2,783,767.70
  5. Step 5: Solve for x
    x = 2,783,767.70/2,067.88
  6. Step 6: Final answer
    x = 1,346.19

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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.