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Finding the Fourth Proportional to 2,171.74, 3,260.49 and 2,096.86

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Solution

The fourth proportional to 2,171.74, 3,260.49 and 2,096.86 is: 3,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.74 : 3,260.49 = 2,096.86 : x
  2. Step 2: Convert to fraction form
    2,171.74/3,260.49 = 2,096.86/x
  3. Step 3: Cross multiply
    2,171.74x = 3,260.49 × 2,096.86
  4. Step 4: Simplify right side
    2,171.74x = 6,836,791.06
  5. Step 5: Solve for x
    x = 6,836,791.06/2,171.74
  6. Step 6: Final answer
    x = 3,148.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.