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Finding the Fourth Proportional to 2,841.49, 4,262.24 and 1,198

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Solution

The fourth proportional to 2,841.49, 4,262.24 and 1,198 is: 1,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.49 : 4,262.24 = 1,198 : x
  2. Step 2: Convert to fraction form
    2,841.49/4,262.24 = 1,198/x
  3. Step 3: Cross multiply
    2,841.49x = 4,262.24 × 1,198
  4. Step 4: Simplify right side
    2,841.49x = 5,106,163.52
  5. Step 5: Solve for x
    x = 5,106,163.52/2,841.49
  6. Step 6: Final answer
    x = 1,797.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.