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Finding the Fourth Proportional to 2,180.24, 3,270.39 and 620.24

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Solution

The fourth proportional to 2,180.24, 3,270.39 and 620.24 is: 930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.24 : 3,270.39 = 620.24 : x
  2. Step 2: Convert to fraction form
    2,180.24/3,270.39 = 620.24/x
  3. Step 3: Cross multiply
    2,180.24x = 3,270.39 × 620.24
  4. Step 4: Simplify right side
    2,180.24x = 2,028,410.34
  5. Step 5: Solve for x
    x = 2,028,410.34/2,180.24
  6. Step 6: Final answer
    x = 930.36

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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.