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Finding the Fourth Proportional to 2,080.99, 2,872.05 and 1,196.78

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Solution

The fourth proportional to 2,080.99, 2,872.05 and 1,196.78 is: 1,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.99 : 2,872.05 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    2,080.99/2,872.05 = 1,196.78/x
  3. Step 3: Cross multiply
    2,080.99x = 2,872.05 × 1,196.78
  4. Step 4: Simplify right side
    2,080.99x = 3,437,212.00
  5. Step 5: Solve for x
    x = 3,437,212.00/2,080.99
  6. Step 6: Final answer
    x = 1,651.72

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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.