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Finding the Fourth Proportional to 2,753.95, 3,801.06 and 2,311.09

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Solution

The fourth proportional to 2,753.95, 3,801.06 and 2,311.09 is: 3,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.95 : 3,801.06 = 2,311.09 : x
  2. Step 2: Convert to fraction form
    2,753.95/3,801.06 = 2,311.09/x
  3. Step 3: Cross multiply
    2,753.95x = 3,801.06 × 2,311.09
  4. Step 4: Simplify right side
    2,753.95x = 8,784,591.76
  5. Step 5: Solve for x
    x = 8,784,591.76/2,753.95
  6. Step 6: Final answer
    x = 3,189.82

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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.