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Finding the Fourth Proportional to 2,778.57, 3,831.26 and 2,272.82

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Solution

The fourth proportional to 2,778.57, 3,831.26 and 2,272.82 is: 3,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.57 : 3,831.26 = 2,272.82 : x
  2. Step 2: Convert to fraction form
    2,778.57/3,831.26 = 2,272.82/x
  3. Step 3: Cross multiply
    2,778.57x = 3,831.26 × 2,272.82
  4. Step 4: Simplify right side
    2,778.57x = 8,707,733.83
  5. Step 5: Solve for x
    x = 8,707,733.83/2,778.57
  6. Step 6: Final answer
    x = 3,133.89

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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.