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Finding the Fourth Proportional to 3,171.26, 4,379.19 and 2,054

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Solution

The fourth proportional to 3,171.26, 4,379.19 and 2,054 is: 2,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.26 : 4,379.19 = 2,054 : x
  2. Step 2: Convert to fraction form
    3,171.26/4,379.19 = 2,054/x
  3. Step 3: Cross multiply
    3,171.26x = 4,379.19 × 2,054
  4. Step 4: Simplify right side
    3,171.26x = 8,994,856.26
  5. Step 5: Solve for x
    x = 8,994,856.26/3,171.26
  6. Step 6: Final answer
    x = 2,836.37

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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.