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Finding the Fourth Proportional to 2,832.15, 3,907.22 and 2,044.47

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Solution

The fourth proportional to 2,832.15, 3,907.22 and 2,044.47 is: 2,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.15 : 3,907.22 = 2,044.47 : x
  2. Step 2: Convert to fraction form
    2,832.15/3,907.22 = 2,044.47/x
  3. Step 3: Cross multiply
    2,832.15x = 3,907.22 × 2,044.47
  4. Step 4: Simplify right side
    2,832.15x = 7,988,183.85
  5. Step 5: Solve for x
    x = 7,988,183.85/2,832.15
  6. Step 6: Final answer
    x = 2,820.54

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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.