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Finding the Fourth Proportional to 2,049.85, 2,829.04 and 1,165.73

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Solution

The fourth proportional to 2,049.85, 2,829.04 and 1,165.73 is: 1,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.85 : 2,829.04 = 1,165.73 : x
  2. Step 2: Convert to fraction form
    2,049.85/2,829.04 = 1,165.73/x
  3. Step 3: Cross multiply
    2,049.85x = 2,829.04 × 1,165.73
  4. Step 4: Simplify right side
    2,049.85x = 3,297,896.80
  5. Step 5: Solve for x
    x = 3,297,896.80/2,049.85
  6. Step 6: Final answer
    x = 1,608.85

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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.