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Finding the Fourth Proportional to 2,224.68, 3,069.99 and 1,229.96

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Solution

The fourth proportional to 2,224.68, 3,069.99 and 1,229.96 is: 1,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.68 : 3,069.99 = 1,229.96 : x
  2. Step 2: Convert to fraction form
    2,224.68/3,069.99 = 1,229.96/x
  3. Step 3: Cross multiply
    2,224.68x = 3,069.99 × 1,229.96
  4. Step 4: Simplify right side
    2,224.68x = 3,775,949.55
  5. Step 5: Solve for x
    x = 3,775,949.55/2,224.68
  6. Step 6: Final answer
    x = 1,697.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.