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Finding the Fourth Proportional to 2,065.09, 3,096.88 and 832.09

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Solution

The fourth proportional to 2,065.09, 3,096.88 and 832.09 is: 1,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.09 : 3,096.88 = 832.09 : x
  2. Step 2: Convert to fraction form
    2,065.09/3,096.88 = 832.09/x
  3. Step 3: Cross multiply
    2,065.09x = 3,096.88 × 832.09
  4. Step 4: Simplify right side
    2,065.09x = 2,576,882.88
  5. Step 5: Solve for x
    x = 2,576,882.88/2,065.09
  6. Step 6: Final answer
    x = 1,247.83

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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.