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Finding the Fourth Proportional to 2,831.70, 3,908.36 and 2,161.25

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Solution

The fourth proportional to 2,831.70, 3,908.36 and 2,161.25 is: 2,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.70 : 3,908.36 = 2,161.25 : x
  2. Step 2: Convert to fraction form
    2,831.70/3,908.36 = 2,161.25/x
  3. Step 3: Cross multiply
    2,831.70x = 3,908.36 × 2,161.25
  4. Step 4: Simplify right side
    2,831.70x = 8,446,943.05
  5. Step 5: Solve for x
    x = 8,446,943.05/2,831.70
  6. Step 6: Final answer
    x = 2,982.99

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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.