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Finding the Fourth Proportional to 2,067.14, 3,100.77 and 606.41

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Solution

The fourth proportional to 2,067.14, 3,100.77 and 606.41 is: 909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.14 : 3,100.77 = 606.41 : x
  2. Step 2: Convert to fraction form
    2,067.14/3,100.77 = 606.41/x
  3. Step 3: Cross multiply
    2,067.14x = 3,100.77 × 606.41
  4. Step 4: Simplify right side
    2,067.14x = 1,880,337.94
  5. Step 5: Solve for x
    x = 1,880,337.94/2,067.14
  6. Step 6: Final answer
    x = 909.63

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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.