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Finding the Fourth Proportional to 2,335.30, 3,223.14 and 1,327.00

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Solution

The fourth proportional to 2,335.30, 3,223.14 and 1,327.00 is: 1,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.30 : 3,223.14 = 1,327.00 : x
  2. Step 2: Convert to fraction form
    2,335.30/3,223.14 = 1,327.00/x
  3. Step 3: Cross multiply
    2,335.30x = 3,223.14 × 1,327.00
  4. Step 4: Simplify right side
    2,335.30x = 4,277,115.79
  5. Step 5: Solve for x
    x = 4,277,115.79/2,335.30
  6. Step 6: Final answer
    x = 1,831.51

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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.