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Finding the Fourth Proportional to 2,122.45, 3,183.76 and 661.57

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Solution

The fourth proportional to 2,122.45, 3,183.76 and 661.57 is: 992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.45 : 3,183.76 = 661.57 : x
  2. Step 2: Convert to fraction form
    2,122.45/3,183.76 = 661.57/x
  3. Step 3: Cross multiply
    2,122.45x = 3,183.76 × 661.57
  4. Step 4: Simplify right side
    2,122.45x = 2,106,269.25
  5. Step 5: Solve for x
    x = 2,106,269.25/2,122.45
  6. Step 6: Final answer
    x = 992.37

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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.