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Finding the Fourth Proportional to 2,704.27, 4,057.01 and 855.50

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Solution

The fourth proportional to 2,704.27, 4,057.01 and 855.50 is: 1,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.27 : 4,057.01 = 855.50 : x
  2. Step 2: Convert to fraction form
    2,704.27/4,057.01 = 855.50/x
  3. Step 3: Cross multiply
    2,704.27x = 4,057.01 × 855.50
  4. Step 4: Simplify right side
    2,704.27x = 3,470,753.91
  5. Step 5: Solve for x
    x = 3,470,753.91/2,704.27
  6. Step 6: Final answer
    x = 1,283.44

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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.