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Finding the Fourth Proportional to 2,180.34, 3,270.21 and 620.47

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Solution

The fourth proportional to 2,180.34, 3,270.21 and 620.47 is: 930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.34 : 3,270.21 = 620.47 : x
  2. Step 2: Convert to fraction form
    2,180.34/3,270.21 = 620.47/x
  3. Step 3: Cross multiply
    2,180.34x = 3,270.21 × 620.47
  4. Step 4: Simplify right side
    2,180.34x = 2,029,067.20
  5. Step 5: Solve for x
    x = 2,029,067.20/2,180.34
  6. Step 6: Final answer
    x = 930.62

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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.