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Finding the Fourth Proportional to 1,791.38, 2,680.72 and 1,321.74

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Solution

The fourth proportional to 1,791.38, 2,680.72 and 1,321.74 is: 1,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.38 : 2,680.72 = 1,321.74 : x
  2. Step 2: Convert to fraction form
    1,791.38/2,680.72 = 1,321.74/x
  3. Step 3: Cross multiply
    1,791.38x = 2,680.72 × 1,321.74
  4. Step 4: Simplify right side
    1,791.38x = 3,543,218.98
  5. Step 5: Solve for x
    x = 3,543,218.98/1,791.38
  6. Step 6: Final answer
    x = 1,977.92

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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.