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Finding the Fourth Proportional to 2,224.47, 3,069.77 and 1,229.74

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Solution

The fourth proportional to 2,224.47, 3,069.77 and 1,229.74 is: 1,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.47 : 3,069.77 = 1,229.74 : x
  2. Step 2: Convert to fraction form
    2,224.47/3,069.77 = 1,229.74/x
  3. Step 3: Cross multiply
    2,224.47x = 3,069.77 × 1,229.74
  4. Step 4: Simplify right side
    2,224.47x = 3,775,018.96
  5. Step 5: Solve for x
    x = 3,775,018.96/2,224.47
  6. Step 6: Final answer
    x = 1,697.04

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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.