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Finding the Fourth Proportional to 1,822, 2,733.36 and 796

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Solution

The fourth proportional to 1,822, 2,733.36 and 796 is: 1,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822 : 2,733.36 = 796 : x
  2. Step 2: Convert to fraction form
    1,822/2,733.36 = 796/x
  3. Step 3: Cross multiply
    1,822x = 2,733.36 × 796
  4. Step 4: Simplify right side
    1,822x = 2,175,754.56
  5. Step 5: Solve for x
    x = 2,175,754.56/1,822
  6. Step 6: Final answer
    x = 1,194.16

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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.