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Finding the Fourth Proportional to 2,321.78, 3,204.06 and 1,327.06

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Solution

The fourth proportional to 2,321.78, 3,204.06 and 1,327.06 is: 1,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.78 : 3,204.06 = 1,327.06 : x
  2. Step 2: Convert to fraction form
    2,321.78/3,204.06 = 1,327.06/x
  3. Step 3: Cross multiply
    2,321.78x = 3,204.06 × 1,327.06
  4. Step 4: Simplify right side
    2,321.78x = 4,251,963.84
  5. Step 5: Solve for x
    x = 4,251,963.84/2,321.78
  6. Step 6: Final answer
    x = 1,831.34

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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.