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Finding the Fourth Proportional to 2,831.52, 3,906.42 and 2,087.25

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Solution

The fourth proportional to 2,831.52, 3,906.42 and 2,087.25 is: 2,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.52 : 3,906.42 = 2,087.25 : x
  2. Step 2: Convert to fraction form
    2,831.52/3,906.42 = 2,087.25/x
  3. Step 3: Cross multiply
    2,831.52x = 3,906.42 × 2,087.25
  4. Step 4: Simplify right side
    2,831.52x = 8,153,675.15
  5. Step 5: Solve for x
    x = 8,153,675.15/2,831.52
  6. Step 6: Final answer
    x = 2,879.61

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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.