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Finding the Fourth Proportional to 2,229.54, 3,077.43 and 1,443.64

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Solution

The fourth proportional to 2,229.54, 3,077.43 and 1,443.64 is: 1,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.54 : 3,077.43 = 1,443.64 : x
  2. Step 2: Convert to fraction form
    2,229.54/3,077.43 = 1,443.64/x
  3. Step 3: Cross multiply
    2,229.54x = 3,077.43 × 1,443.64
  4. Step 4: Simplify right side
    2,229.54x = 4,442,701.05
  5. Step 5: Solve for x
    x = 4,442,701.05/2,229.54
  6. Step 6: Final answer
    x = 1,992.65

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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.