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Finding the Fourth Proportional to 3,164, 4,366.44 and 1,922

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Solution

The fourth proportional to 3,164, 4,366.44 and 1,922 is: 2,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 4,366.44 = 1,922 : x
  2. Step 2: Convert to fraction form
    3,164/4,366.44 = 1,922/x
  3. Step 3: Cross multiply
    3,164x = 4,366.44 × 1,922
  4. Step 4: Simplify right side
    3,164x = 8,392,297.68
  5. Step 5: Solve for x
    x = 8,392,297.68/3,164
  6. Step 6: Final answer
    x = 2,652.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.