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Finding the Fourth Proportional to 2,177.92, 3,270.99 and 1,361.92

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Solution

The fourth proportional to 2,177.92, 3,270.99 and 1,361.92 is: 2,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.92 : 3,270.99 = 1,361.92 : x
  2. Step 2: Convert to fraction form
    2,177.92/3,270.99 = 1,361.92/x
  3. Step 3: Cross multiply
    2,177.92x = 3,270.99 × 1,361.92
  4. Step 4: Simplify right side
    2,177.92x = 4,454,826.70
  5. Step 5: Solve for x
    x = 4,454,826.70/2,177.92
  6. Step 6: Final answer
    x = 2,045.45

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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.