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Finding the Fourth Proportional to 3,096.57, 4,274.44 and 2,261.60

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Solution

The fourth proportional to 3,096.57, 4,274.44 and 2,261.60 is: 3,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.57 : 4,274.44 = 2,261.60 : x
  2. Step 2: Convert to fraction form
    3,096.57/4,274.44 = 2,261.60/x
  3. Step 3: Cross multiply
    3,096.57x = 4,274.44 × 2,261.60
  4. Step 4: Simplify right side
    3,096.57x = 9,667,046.48
  5. Step 5: Solve for x
    x = 9,667,046.48/3,096.57
  6. Step 6: Final answer
    x = 3,121.86

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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.