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Finding the Fourth Proportional to 2,138.75, 3,208.22 and 677.87

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Solution

The fourth proportional to 2,138.75, 3,208.22 and 677.87 is: 1,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.75 : 3,208.22 = 677.87 : x
  2. Step 2: Convert to fraction form
    2,138.75/3,208.22 = 677.87/x
  3. Step 3: Cross multiply
    2,138.75x = 3,208.22 × 677.87
  4. Step 4: Simplify right side
    2,138.75x = 2,174,760.72
  5. Step 5: Solve for x
    x = 2,174,760.72/2,138.75
  6. Step 6: Final answer
    x = 1,016.84

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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.