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Finding the Fourth Proportional to 2,064.43, 3,096.79 and 831.85

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Solution

The fourth proportional to 2,064.43, 3,096.79 and 831.85 is: 1,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.43 : 3,096.79 = 831.85 : x
  2. Step 2: Convert to fraction form
    2,064.43/3,096.79 = 831.85/x
  3. Step 3: Cross multiply
    2,064.43x = 3,096.79 × 831.85
  4. Step 4: Simplify right side
    2,064.43x = 2,576,058.06
  5. Step 5: Solve for x
    x = 2,576,058.06/2,064.43
  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.