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Finding the Fourth Proportional to 2,224.49, 3,069.74 and 1,229.75

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Solution

The fourth proportional to 2,224.49, 3,069.74 and 1,229.75 is: 1,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.49 : 3,069.74 = 1,229.75 : x
  2. Step 2: Convert to fraction form
    2,224.49/3,069.74 = 1,229.75/x
  3. Step 3: Cross multiply
    2,224.49x = 3,069.74 × 1,229.75
  4. Step 4: Simplify right side
    2,224.49x = 3,775,012.77
  5. Step 5: Solve for x
    x = 3,775,012.77/2,224.49
  6. Step 6: Final answer
    x = 1,697.03

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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.