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Finding the Fourth Proportional to 3,067.84, 4,601.94 and 1,424.44

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Solution

The fourth proportional to 3,067.84, 4,601.94 and 1,424.44 is: 2,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.84 : 4,601.94 = 1,424.44 : x
  2. Step 2: Convert to fraction form
    3,067.84/4,601.94 = 1,424.44/x
  3. Step 3: Cross multiply
    3,067.84x = 4,601.94 × 1,424.44
  4. Step 4: Simplify right side
    3,067.84x = 6,555,187.41
  5. Step 5: Solve for x
    x = 6,555,187.41/3,067.84
  6. Step 6: Final answer
    x = 2,136.74

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1.5x scale

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.