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Finding the Fourth Proportional to 2,719.78, 3,753.83 and 1,540.85

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Solution

The fourth proportional to 2,719.78, 3,753.83 and 1,540.85 is: 2,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.78 : 3,753.83 = 1,540.85 : x
  2. Step 2: Convert to fraction form
    2,719.78/3,753.83 = 1,540.85/x
  3. Step 3: Cross multiply
    2,719.78x = 3,753.83 × 1,540.85
  4. Step 4: Simplify right side
    2,719.78x = 5,784,096.41
  5. Step 5: Solve for x
    x = 5,784,096.41/2,719.78
  6. Step 6: Final answer
    x = 2,126.68

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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.