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Finding the Fourth Proportional to 2,758.42, 4,141.74 and 2,709.22

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Solution

The fourth proportional to 2,758.42, 4,141.74 and 2,709.22 is: 4,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.42 : 4,141.74 = 2,709.22 : x
  2. Step 2: Convert to fraction form
    2,758.42/4,141.74 = 2,709.22/x
  3. Step 3: Cross multiply
    2,758.42x = 4,141.74 × 2,709.22
  4. Step 4: Simplify right side
    2,758.42x = 11,220,884.84
  5. Step 5: Solve for x
    x = 11,220,884.84/2,758.42
  6. Step 6: Final answer
    x = 4,067.87

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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.