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Finding the Fourth Proportional to 2,080.73, 2,871.99 and 1,196.82

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Solution

The fourth proportional to 2,080.73, 2,871.99 and 1,196.82 is: 1,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.73 : 2,871.99 = 1,196.82 : x
  2. Step 2: Convert to fraction form
    2,080.73/2,871.99 = 1,196.82/x
  3. Step 3: Cross multiply
    2,080.73x = 2,871.99 × 1,196.82
  4. Step 4: Simplify right side
    2,080.73x = 3,437,255.07
  5. Step 5: Solve for x
    x = 3,437,255.07/2,080.73
  6. Step 6: Final answer
    x = 1,651.94

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