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Finding the Fourth Proportional to 2,059.96, 3,096.42 and 1,789.42

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Solution

The fourth proportional to 2,059.96, 3,096.42 and 1,789.42 is: 2,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.96 : 3,096.42 = 1,789.42 : x
  2. Step 2: Convert to fraction form
    2,059.96/3,096.42 = 1,789.42/x
  3. Step 3: Cross multiply
    2,059.96x = 3,096.42 × 1,789.42
  4. Step 4: Simplify right side
    2,059.96x = 5,540,795.88
  5. Step 5: Solve for x
    x = 5,540,795.88/2,059.96
  6. Step 6: Final answer
    x = 2,689.76

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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.