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Finding the Fourth Proportional to 2,257.56, 3,385.80 and 796.68

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Solution

The fourth proportional to 2,257.56, 3,385.80 and 796.68 is: 1,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.56 : 3,385.80 = 796.68 : x
  2. Step 2: Convert to fraction form
    2,257.56/3,385.80 = 796.68/x
  3. Step 3: Cross multiply
    2,257.56x = 3,385.80 × 796.68
  4. Step 4: Simplify right side
    2,257.56x = 2,697,399.14
  5. Step 5: Solve for x
    x = 2,697,399.14/2,257.56
  6. Step 6: Final answer
    x = 1,194.83

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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.