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Finding the Fourth Proportional to 2,122.81, 3,180.09 and 1,195.54

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Solution

The fourth proportional to 2,122.81, 3,180.09 and 1,195.54 is: 1,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.81 : 3,180.09 = 1,195.54 : x
  2. Step 2: Convert to fraction form
    2,122.81/3,180.09 = 1,195.54/x
  3. Step 3: Cross multiply
    2,122.81x = 3,180.09 × 1,195.54
  4. Step 4: Simplify right side
    2,122.81x = 3,801,908.90
  5. Step 5: Solve for x
    x = 3,801,908.90/2,122.81
  6. Step 6: Final answer
    x = 1,790.98

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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.