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Finding the Fourth Proportional to 2,321.73, 3,203.87 and 1,327.14

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Solution

The fourth proportional to 2,321.73, 3,203.87 and 1,327.14 is: 1,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.73 : 3,203.87 = 1,327.14 : x
  2. Step 2: Convert to fraction form
    2,321.73/3,203.87 = 1,327.14/x
  3. Step 3: Cross multiply
    2,321.73x = 3,203.87 × 1,327.14
  4. Step 4: Simplify right side
    2,321.73x = 4,251,977.40
  5. Step 5: Solve for x
    x = 4,251,977.40/2,321.73
  6. Step 6: Final answer
    x = 1,831.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.