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Finding the Fourth Proportional to 2,138.33, 3,207.89 and 677.14

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Solution

The fourth proportional to 2,138.33, 3,207.89 and 677.14 is: 1,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.33 : 3,207.89 = 677.14 : x
  2. Step 2: Convert to fraction form
    2,138.33/3,207.89 = 677.14/x
  3. Step 3: Cross multiply
    2,138.33x = 3,207.89 × 677.14
  4. Step 4: Simplify right side
    2,138.33x = 2,172,184.31
  5. Step 5: Solve for x
    x = 2,172,184.31/2,138.33
  6. Step 6: Final answer
    x = 1,015.83

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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.