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Finding the Fourth Proportional to 2,486.21, 3,729.99 and 2,214.19

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Solution

The fourth proportional to 2,486.21, 3,729.99 and 2,214.19 is: 3,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.21 : 3,729.99 = 2,214.19 : x
  2. Step 2: Convert to fraction form
    2,486.21/3,729.99 = 2,214.19/x
  3. Step 3: Cross multiply
    2,486.21x = 3,729.99 × 2,214.19
  4. Step 4: Simplify right side
    2,486.21x = 8,258,906.56
  5. Step 5: Solve for x
    x = 8,258,906.56/2,486.21
  6. Step 6: Final answer
    x = 3,321.89

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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.