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Finding the Fourth Proportional to 3,143.42, 4,716.69 and 2,224.88

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Solution

The fourth proportional to 3,143.42, 4,716.69 and 2,224.88 is: 3,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.42 : 4,716.69 = 2,224.88 : x
  2. Step 2: Convert to fraction form
    3,143.42/4,716.69 = 2,224.88/x
  3. Step 3: Cross multiply
    3,143.42x = 4,716.69 × 2,224.88
  4. Step 4: Simplify right side
    3,143.42x = 10,494,069.25
  5. Step 5: Solve for x
    x = 10,494,069.25/3,143.42
  6. Step 6: Final answer
    x = 3,338.42

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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.