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Finding the Fourth Proportional to 3,105.08, 4,657.62 and 796.58

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Solution

The fourth proportional to 3,105.08, 4,657.62 and 796.58 is: 1,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.08 : 4,657.62 = 796.58 : x
  2. Step 2: Convert to fraction form
    3,105.08/4,657.62 = 796.58/x
  3. Step 3: Cross multiply
    3,105.08x = 4,657.62 × 796.58
  4. Step 4: Simplify right side
    3,105.08x = 3,710,162.96
  5. Step 5: Solve for x
    x = 3,710,162.96/3,105.08
  6. Step 6: Final answer
    x = 1,194.87

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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.