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Finding the Fourth Proportional to 2,644.82, 3,967.25 and 1,084.41

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Solution

The fourth proportional to 2,644.82, 3,967.25 and 1,084.41 is: 1,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.82 : 3,967.25 = 1,084.41 : x
  2. Step 2: Convert to fraction form
    2,644.82/3,967.25 = 1,084.41/x
  3. Step 3: Cross multiply
    2,644.82x = 3,967.25 × 1,084.41
  4. Step 4: Simplify right side
    2,644.82x = 4,302,120.15
  5. Step 5: Solve for x
    x = 4,302,120.15/2,644.82
  6. Step 6: Final answer
    x = 1,626.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.