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Finding the Fourth Proportional to 2,138.68, 3,207.06 and 677.56

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Solution

The fourth proportional to 2,138.68, 3,207.06 and 677.56 is: 1,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.68 : 3,207.06 = 677.56 : x
  2. Step 2: Convert to fraction form
    2,138.68/3,207.06 = 677.56/x
  3. Step 3: Cross multiply
    2,138.68x = 3,207.06 × 677.56
  4. Step 4: Simplify right side
    2,138.68x = 2,172,975.57
  5. Step 5: Solve for x
    x = 2,172,975.57/2,138.68
  6. Step 6: Final answer
    x = 1,016.04

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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.