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Finding the Fourth Proportional to 2,798.80, 4,198.19 and 2,737.29

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Solution

The fourth proportional to 2,798.80, 4,198.19 and 2,737.29 is: 4,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.80 : 4,198.19 = 2,737.29 : x
  2. Step 2: Convert to fraction form
    2,798.80/4,198.19 = 2,737.29/x
  3. Step 3: Cross multiply
    2,798.80x = 4,198.19 × 2,737.29
  4. Step 4: Simplify right side
    2,798.80x = 11,491,663.51
  5. Step 5: Solve for x
    x = 11,491,663.51/2,798.80
  6. Step 6: Final answer
    x = 4,105.93

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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.