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Finding the Fourth Proportional to 2,270.97, 3,134.46 and 1,327.22

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Solution

The fourth proportional to 2,270.97, 3,134.46 and 1,327.22 is: 1,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.97 : 3,134.46 = 1,327.22 : x
  2. Step 2: Convert to fraction form
    2,270.97/3,134.46 = 1,327.22/x
  3. Step 3: Cross multiply
    2,270.97x = 3,134.46 × 1,327.22
  4. Step 4: Simplify right side
    2,270.97x = 4,160,118.00
  5. Step 5: Solve for x
    x = 4,160,118.00/2,270.97
  6. Step 6: Final answer
    x = 1,831.87

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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.