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Finding the Fourth Proportional to 2,831.65, 3,912.37 and 2,238.68

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Solution

The fourth proportional to 2,831.65, 3,912.37 and 2,238.68 is: 3,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.65 : 3,912.37 = 2,238.68 : x
  2. Step 2: Convert to fraction form
    2,831.65/3,912.37 = 2,238.68/x
  3. Step 3: Cross multiply
    2,831.65x = 3,912.37 × 2,238.68
  4. Step 4: Simplify right side
    2,831.65x = 8,758,548.66
  5. Step 5: Solve for x
    x = 8,758,548.66/2,831.65
  6. Step 6: Final answer
    x = 3,093.09

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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.