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Finding the Fourth Proportional to 3,174.67, 4,379.54 and 2,112.93

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Solution

The fourth proportional to 3,174.67, 4,379.54 and 2,112.93 is: 2,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.67 : 4,379.54 = 2,112.93 : x
  2. Step 2: Convert to fraction form
    3,174.67/4,379.54 = 2,112.93/x
  3. Step 3: Cross multiply
    3,174.67x = 4,379.54 × 2,112.93
  4. Step 4: Simplify right side
    3,174.67x = 9,253,650.89
  5. Step 5: Solve for x
    x = 9,253,650.89/3,174.67
  6. Step 6: Final answer
    x = 2,914.84

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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.