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Finding the Fourth Proportional to 2,122.27, 3,183.54 and 661.48

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Solution

The fourth proportional to 2,122.27, 3,183.54 and 661.48 is: 992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.27 : 3,183.54 = 661.48 : x
  2. Step 2: Convert to fraction form
    2,122.27/3,183.54 = 661.48/x
  3. Step 3: Cross multiply
    2,122.27x = 3,183.54 × 661.48
  4. Step 4: Simplify right side
    2,122.27x = 2,105,848.04
  5. Step 5: Solve for x
    x = 2,105,848.04/2,122.27
  6. Step 6: Final answer
    x = 992.26

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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.