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Finding the Fourth Proportional to 3,174.09, 4,761.45 and 1,093.82

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Solution

The fourth proportional to 3,174.09, 4,761.45 and 1,093.82 is: 1,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.09 : 4,761.45 = 1,093.82 : x
  2. Step 2: Convert to fraction form
    3,174.09/4,761.45 = 1,093.82/x
  3. Step 3: Cross multiply
    3,174.09x = 4,761.45 × 1,093.82
  4. Step 4: Simplify right side
    3,174.09x = 5,208,145.43
  5. Step 5: Solve for x
    x = 5,208,145.43/3,174.09
  6. Step 6: Final answer
    x = 1,640.83

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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.