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Finding the Fourth Proportional to 2,067.65, 3,101.93 and 606.92

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Solution

The fourth proportional to 2,067.65, 3,101.93 and 606.92 is: 910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.65 : 3,101.93 = 606.92 : x
  2. Step 2: Convert to fraction form
    2,067.65/3,101.93 = 606.92/x
  3. Step 3: Cross multiply
    2,067.65x = 3,101.93 × 606.92
  4. Step 4: Simplify right side
    2,067.65x = 1,882,604.81
  5. Step 5: Solve for x
    x = 1,882,604.81/2,067.65
  6. Step 6: Final answer
    x = 910.51

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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.