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Finding the Fourth Proportional to 2,179.26, 3,270.06 and 1,449.18

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Solution

The fourth proportional to 2,179.26, 3,270.06 and 1,449.18 is: 2,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.26 : 3,270.06 = 1,449.18 : x
  2. Step 2: Convert to fraction form
    2,179.26/3,270.06 = 1,449.18/x
  3. Step 3: Cross multiply
    2,179.26x = 3,270.06 × 1,449.18
  4. Step 4: Simplify right side
    2,179.26x = 4,738,905.55
  5. Step 5: Solve for x
    x = 4,738,905.55/2,179.26
  6. Step 6: Final answer
    x = 2,174.55

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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.