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Finding the Fourth Proportional to 2,879.28, 3,972.24 and 1,831.14

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Solution

The fourth proportional to 2,879.28, 3,972.24 and 1,831.14 is: 2,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.28 : 3,972.24 = 1,831.14 : x
  2. Step 2: Convert to fraction form
    2,879.28/3,972.24 = 1,831.14/x
  3. Step 3: Cross multiply
    2,879.28x = 3,972.24 × 1,831.14
  4. Step 4: Simplify right side
    2,879.28x = 7,273,727.55
  5. Step 5: Solve for x
    x = 7,273,727.55/2,879.28
  6. Step 6: Final answer
    x = 2,526.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.