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Finding the Fourth Proportional to 2,256.55, 3,385.26 and 796.73

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Solution

The fourth proportional to 2,256.55, 3,385.26 and 796.73 is: 1,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.55 : 3,385.26 = 796.73 : x
  2. Step 2: Convert to fraction form
    2,256.55/3,385.26 = 796.73/x
  3. Step 3: Cross multiply
    2,256.55x = 3,385.26 × 796.73
  4. Step 4: Simplify right side
    2,256.55x = 2,697,121.27
  5. Step 5: Solve for x
    x = 2,697,121.27/2,256.55
  6. Step 6: Final answer
    x = 1,195.24

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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.