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Finding the Fourth Proportional to 2,067.77, 3,101.61 and 606.89

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Solution

The fourth proportional to 2,067.77, 3,101.61 and 606.89 is: 910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.77 : 3,101.61 = 606.89 : x
  2. Step 2: Convert to fraction form
    2,067.77/3,101.61 = 606.89/x
  3. Step 3: Cross multiply
    2,067.77x = 3,101.61 × 606.89
  4. Step 4: Simplify right side
    2,067.77x = 1,882,336.09
  5. Step 5: Solve for x
    x = 1,882,336.09/2,067.77
  6. Step 6: Final answer
    x = 910.32

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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.