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Finding the Fourth Proportional to 2,138.81, 3,208.23 and 677.97

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Solution

The fourth proportional to 2,138.81, 3,208.23 and 677.97 is: 1,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.81 : 3,208.23 = 677.97 : x
  2. Step 2: Convert to fraction form
    2,138.81/3,208.23 = 677.97/x
  3. Step 3: Cross multiply
    2,138.81x = 3,208.23 × 677.97
  4. Step 4: Simplify right side
    2,138.81x = 2,175,083.69
  5. Step 5: Solve for x
    x = 2,175,083.69/2,138.81
  6. Step 6: Final answer
    x = 1,016.96

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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.