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Finding the Fourth Proportional to 2,138.42, 3,207.72 and 677.54

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Solution

The fourth proportional to 2,138.42, 3,207.72 and 677.54 is: 1,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.42 : 3,207.72 = 677.54 : x
  2. Step 2: Convert to fraction form
    2,138.42/3,207.72 = 677.54/x
  3. Step 3: Cross multiply
    2,138.42x = 3,207.72 × 677.54
  4. Step 4: Simplify right side
    2,138.42x = 2,173,369.17
  5. Step 5: Solve for x
    x = 2,173,369.17/2,138.42
  6. Step 6: Final answer
    x = 1,016.34

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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.