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Finding the Fourth Proportional to 2,065.10, 3,096.83 and 832.14

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Solution

The fourth proportional to 2,065.10, 3,096.83 and 832.14 is: 1,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.10 : 3,096.83 = 832.14 : x
  2. Step 2: Convert to fraction form
    2,065.10/3,096.83 = 832.14/x
  3. Step 3: Cross multiply
    2,065.10x = 3,096.83 × 832.14
  4. Step 4: Simplify right side
    2,065.10x = 2,576,998.20
  5. Step 5: Solve for x
    x = 2,576,998.20/2,065.10
  6. Step 6: Final answer
    x = 1,247.88

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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.