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Finding the Fourth Proportional to 2,805.11, 3,871.04 and 1,626.85

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Solution

The fourth proportional to 2,805.11, 3,871.04 and 1,626.85 is: 2,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.11 : 3,871.04 = 1,626.85 : x
  2. Step 2: Convert to fraction form
    2,805.11/3,871.04 = 1,626.85/x
  3. Step 3: Cross multiply
    2,805.11x = 3,871.04 × 1,626.85
  4. Step 4: Simplify right side
    2,805.11x = 6,297,583.61
  5. Step 5: Solve for x
    x = 6,297,583.61/2,805.11
  6. Step 6: Final answer
    x = 2,245.04

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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.