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Finding the Fourth Proportional to 2,121.27, 3,182.18 and 660.44

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Solution

The fourth proportional to 2,121.27, 3,182.18 and 660.44 is: 990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.27 : 3,182.18 = 660.44 : x
  2. Step 2: Convert to fraction form
    2,121.27/3,182.18 = 660.44/x
  3. Step 3: Cross multiply
    2,121.27x = 3,182.18 × 660.44
  4. Step 4: Simplify right side
    2,121.27x = 2,101,619.75
  5. Step 5: Solve for x
    x = 2,101,619.75/2,121.27
  6. Step 6: Final answer
    x = 990.74

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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.