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Finding the Fourth Proportional to 2,767.42, 4,147.62 and 2,738.13

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Solution

The fourth proportional to 2,767.42, 4,147.62 and 2,738.13 is: 4,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.42 : 4,147.62 = 2,738.13 : x
  2. Step 2: Convert to fraction form
    2,767.42/4,147.62 = 2,738.13/x
  3. Step 3: Cross multiply
    2,767.42x = 4,147.62 × 2,738.13
  4. Step 4: Simplify right side
    2,767.42x = 11,356,722.75
  5. Step 5: Solve for x
    x = 11,356,722.75/2,767.42
  6. Step 6: Final answer
    x = 4,103.72

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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.