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Finding the Fourth Proportional to 2,321.79, 3,203.85 and 1,327.03

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Solution

The fourth proportional to 2,321.79, 3,203.85 and 1,327.03 is: 1,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.79 : 3,203.85 = 1,327.03 : x
  2. Step 2: Convert to fraction form
    2,321.79/3,203.85 = 1,327.03/x
  3. Step 3: Cross multiply
    2,321.79x = 3,203.85 × 1,327.03
  4. Step 4: Simplify right side
    2,321.79x = 4,251,620.05
  5. Step 5: Solve for x
    x = 4,251,620.05/2,321.79
  6. Step 6: Final answer
    x = 1,831.18

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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.