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Finding the Fourth Proportional to 2,255.75, 3,383.78 and 794.41

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Solution

The fourth proportional to 2,255.75, 3,383.78 and 794.41 is: 1,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.75 : 3,383.78 = 794.41 : x
  2. Step 2: Convert to fraction form
    2,255.75/3,383.78 = 794.41/x
  3. Step 3: Cross multiply
    2,255.75x = 3,383.78 × 794.41
  4. Step 4: Simplify right side
    2,255.75x = 2,688,096.24
  5. Step 5: Solve for x
    x = 2,688,096.24/2,255.75
  6. Step 6: Final answer
    x = 1,191.66

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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.