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Finding the Fourth Proportional to 2,118.97, 3,177.38 and 1,241.67

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Solution

The fourth proportional to 2,118.97, 3,177.38 and 1,241.67 is: 1,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.97 : 3,177.38 = 1,241.67 : x
  2. Step 2: Convert to fraction form
    2,118.97/3,177.38 = 1,241.67/x
  3. Step 3: Cross multiply
    2,118.97x = 3,177.38 × 1,241.67
  4. Step 4: Simplify right side
    2,118.97x = 3,945,257.42
  5. Step 5: Solve for x
    x = 3,945,257.42/2,118.97
  6. Step 6: Final answer
    x = 1,861.88

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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.