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Finding the Fourth Proportional to 2,138.53, 3,208.24 and 677.78

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Solution

The fourth proportional to 2,138.53, 3,208.24 and 677.78 is: 1,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.53 : 3,208.24 = 677.78 : x
  2. Step 2: Convert to fraction form
    2,138.53/3,208.24 = 677.78/x
  3. Step 3: Cross multiply
    2,138.53x = 3,208.24 × 677.78
  4. Step 4: Simplify right side
    2,138.53x = 2,174,480.91
  5. Step 5: Solve for x
    x = 2,174,480.91/2,138.53
  6. Step 6: Final answer
    x = 1,016.81

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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.