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Finding the Fourth Proportional to 1,822, 2,733.24 and 796.24

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Solution

The fourth proportional to 1,822, 2,733.24 and 796.24 is: 1,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822 : 2,733.24 = 796.24 : x
  2. Step 2: Convert to fraction form
    1,822/2,733.24 = 796.24/x
  3. Step 3: Cross multiply
    1,822x = 2,733.24 × 796.24
  4. Step 4: Simplify right side
    1,822x = 2,176,315.02
  5. Step 5: Solve for x
    x = 2,176,315.02/1,822
  6. Step 6: Final answer
    x = 1,194.46

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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.