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Finding the Fourth Proportional to 1,891.44, 2,836.74 and 796.62

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Solution

The fourth proportional to 1,891.44, 2,836.74 and 796.62 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.44 : 2,836.74 = 796.62 : x
  2. Step 2: Convert to fraction form
    1,891.44/2,836.74 = 796.62/x
  3. Step 3: Cross multiply
    1,891.44x = 2,836.74 × 796.62
  4. Step 4: Simplify right side
    1,891.44x = 2,259,803.82
  5. Step 5: Solve for x
    x = 2,259,803.82/1,891.44
  6. Step 6: Final answer
    x = 1,194.75

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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.