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Finding the Fourth Proportional to 2,214.99, 3,321.67 and 965.43

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Solution

The fourth proportional to 2,214.99, 3,321.67 and 965.43 is: 1,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.99 : 3,321.67 = 965.43 : x
  2. Step 2: Convert to fraction form
    2,214.99/3,321.67 = 965.43/x
  3. Step 3: Cross multiply
    2,214.99x = 3,321.67 × 965.43
  4. Step 4: Simplify right side
    2,214.99x = 3,206,839.87
  5. Step 5: Solve for x
    x = 3,206,839.87/2,214.99
  6. Step 6: Final answer
    x = 1,447.79

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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.