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Finding the Fourth Proportional to 2,121.44, 3,181.14 and 660.20

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Solution

The fourth proportional to 2,121.44, 3,181.14 and 660.20 is: 989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.44 : 3,181.14 = 660.20 : x
  2. Step 2: Convert to fraction form
    2,121.44/3,181.14 = 660.20/x
  3. Step 3: Cross multiply
    2,121.44x = 3,181.14 × 660.20
  4. Step 4: Simplify right side
    2,121.44x = 2,100,172.72
  5. Step 5: Solve for x
    x = 2,100,172.72/2,121.44
  6. Step 6: Final answer
    x = 989.98

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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.