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Finding the Fourth Proportional to 2,997.71, 4,134.61 and 2,200.78

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Solution

The fourth proportional to 2,997.71, 4,134.61 and 2,200.78 is: 3,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.71 : 4,134.61 = 2,200.78 : x
  2. Step 2: Convert to fraction form
    2,997.71/4,134.61 = 2,200.78/x
  3. Step 3: Cross multiply
    2,997.71x = 4,134.61 × 2,200.78
  4. Step 4: Simplify right side
    2,997.71x = 9,099,371.44
  5. Step 5: Solve for x
    x = 9,099,371.44/2,997.71
  6. Step 6: Final answer
    x = 3,035.44

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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.