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Finding the Fourth Proportional to 2,174.14, 3,257.94 and 2,012.14

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Solution

The fourth proportional to 2,174.14, 3,257.94 and 2,012.14 is: 3,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.14 : 3,257.94 = 2,012.14 : x
  2. Step 2: Convert to fraction form
    2,174.14/3,257.94 = 2,012.14/x
  3. Step 3: Cross multiply
    2,174.14x = 3,257.94 × 2,012.14
  4. Step 4: Simplify right side
    2,174.14x = 6,555,431.39
  5. Step 5: Solve for x
    x = 6,555,431.39/2,174.14
  6. Step 6: Final answer
    x = 3,015.18

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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.