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Finding the Fourth Proportional to 1,797.66, 2,481.27 and 1,099.74

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Solution

The fourth proportional to 1,797.66, 2,481.27 and 1,099.74 is: 1,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.66 : 2,481.27 = 1,099.74 : x
  2. Step 2: Convert to fraction form
    1,797.66/2,481.27 = 1,099.74/x
  3. Step 3: Cross multiply
    1,797.66x = 2,481.27 × 1,099.74
  4. Step 4: Simplify right side
    1,797.66x = 2,728,751.87
  5. Step 5: Solve for x
    x = 2,728,751.87/1,797.66
  6. Step 6: Final answer
    x = 1,517.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.