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Finding the Fourth Proportional to 2,096.72, 3,147.96 and 2,096.72

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Solution

The fourth proportional to 2,096.72, 3,147.96 and 2,096.72 is: 3,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.72 : 3,147.96 = 2,096.72 : x
  2. Step 2: Convert to fraction form
    2,096.72/3,147.96 = 2,096.72/x
  3. Step 3: Cross multiply
    2,096.72x = 3,147.96 × 2,096.72
  4. Step 4: Simplify right side
    2,096.72x = 6,600,390.69
  5. Step 5: Solve for x
    x = 6,600,390.69/2,096.72
  6. Step 6: Final answer
    x = 3,147.96

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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.