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Finding the Fourth Proportional to 3,171.94, 4,380.41 and 2,614.25

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Solution

The fourth proportional to 3,171.94, 4,380.41 and 2,614.25 is: 3,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.94 : 4,380.41 = 2,614.25 : x
  2. Step 2: Convert to fraction form
    3,171.94/4,380.41 = 2,614.25/x
  3. Step 3: Cross multiply
    3,171.94x = 4,380.41 × 2,614.25
  4. Step 4: Simplify right side
    3,171.94x = 11,451,486.84
  5. Step 5: Solve for x
    x = 11,451,486.84/3,171.94
  6. Step 6: Final answer
    x = 3,610.25

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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.