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Finding the Fourth Proportional to 1,992.16, 2,745.79 and 1,361.59

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Solution

The fourth proportional to 1,992.16, 2,745.79 and 1,361.59 is: 1,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.16 : 2,745.79 = 1,361.59 : x
  2. Step 2: Convert to fraction form
    1,992.16/2,745.79 = 1,361.59/x
  3. Step 3: Cross multiply
    1,992.16x = 2,745.79 × 1,361.59
  4. Step 4: Simplify right side
    1,992.16x = 3,738,640.21
  5. Step 5: Solve for x
    x = 3,738,640.21/1,992.16
  6. Step 6: Final answer
    x = 1,876.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.