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Finding the Fourth Proportional to 2,805.56, 3,871.45 and 1,626.71

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Solution

The fourth proportional to 2,805.56, 3,871.45 and 1,626.71 is: 2,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.56 : 3,871.45 = 1,626.71 : x
  2. Step 2: Convert to fraction form
    2,805.56/3,871.45 = 1,626.71/x
  3. Step 3: Cross multiply
    2,805.56x = 3,871.45 × 1,626.71
  4. Step 4: Simplify right side
    2,805.56x = 6,297,730.88
  5. Step 5: Solve for x
    x = 6,297,730.88/2,805.56
  6. Step 6: Final answer
    x = 2,244.73

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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.