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Finding the Fourth Proportional to 2,759.72, 4,136.94 and 1,027.94

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Solution

The fourth proportional to 2,759.72, 4,136.94 and 1,027.94 is: 1,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.72 : 4,136.94 = 1,027.94 : x
  2. Step 2: Convert to fraction form
    2,759.72/4,136.94 = 1,027.94/x
  3. Step 3: Cross multiply
    2,759.72x = 4,136.94 × 1,027.94
  4. Step 4: Simplify right side
    2,759.72x = 4,252,505.42
  5. Step 5: Solve for x
    x = 4,252,505.42/2,759.72
  6. Step 6: Final answer
    x = 1,540.92

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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.