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Finding the Fourth Proportional to 2,685.78, 4,044.48 and 1,997.34

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Solution

The fourth proportional to 2,685.78, 4,044.48 and 1,997.34 is: 3,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.78 : 4,044.48 = 1,997.34 : x
  2. Step 2: Convert to fraction form
    2,685.78/4,044.48 = 1,997.34/x
  3. Step 3: Cross multiply
    2,685.78x = 4,044.48 × 1,997.34
  4. Step 4: Simplify right side
    2,685.78x = 8,078,201.68
  5. Step 5: Solve for x
    x = 8,078,201.68/2,685.78
  6. Step 6: Final answer
    x = 3,007.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.