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Finding the Fourth Proportional to 2,180.44, 3,270.66 and 1,451.44

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Solution

The fourth proportional to 2,180.44, 3,270.66 and 1,451.44 is: 2,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.44 : 3,270.66 = 1,451.44 : x
  2. Step 2: Convert to fraction form
    2,180.44/3,270.66 = 1,451.44/x
  3. Step 3: Cross multiply
    2,180.44x = 3,270.66 × 1,451.44
  4. Step 4: Simplify right side
    2,180.44x = 4,747,166.75
  5. Step 5: Solve for x
    x = 4,747,166.75/2,180.44
  6. Step 6: Final answer
    x = 2,177.16

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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.