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Finding the Fourth Proportional to 3,105.24, 4,657.86 and 796.74

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Solution

The fourth proportional to 3,105.24, 4,657.86 and 796.74 is: 1,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.24 : 4,657.86 = 796.74 : x
  2. Step 2: Convert to fraction form
    3,105.24/4,657.86 = 796.74/x
  3. Step 3: Cross multiply
    3,105.24x = 4,657.86 × 796.74
  4. Step 4: Simplify right side
    3,105.24x = 3,711,103.38
  5. Step 5: Solve for x
    x = 3,711,103.38/3,105.24
  6. Step 6: Final answer
    x = 1,195.11

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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.