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Finding the Fourth Proportional to 2,125.82, 3,190.17 and 827.12

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Solution

The fourth proportional to 2,125.82, 3,190.17 and 827.12 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.82 : 3,190.17 = 827.12 : x
  2. Step 2: Convert to fraction form
    2,125.82/3,190.17 = 827.12/x
  3. Step 3: Cross multiply
    2,125.82x = 3,190.17 × 827.12
  4. Step 4: Simplify right side
    2,125.82x = 2,638,653.41
  5. Step 5: Solve for x
    x = 2,638,653.41/2,125.82
  6. Step 6: Final answer
    x = 1,241.24

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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.