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Finding the Fourth Proportional to 2,286.54, 3,424.34 and 2,171.72

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Solution

The fourth proportional to 2,286.54, 3,424.34 and 2,171.72 is: 3,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.54 : 3,424.34 = 2,171.72 : x
  2. Step 2: Convert to fraction form
    2,286.54/3,424.34 = 2,171.72/x
  3. Step 3: Cross multiply
    2,286.54x = 3,424.34 × 2,171.72
  4. Step 4: Simplify right side
    2,286.54x = 7,436,721.65
  5. Step 5: Solve for x
    x = 7,436,721.65/2,286.54
  6. Step 6: Final answer
    x = 3,252.39

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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.