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Finding the Fourth Proportional to 3,272.60, 4,906.74 and 1,324.28

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Solution

The fourth proportional to 3,272.60, 4,906.74 and 1,324.28 is: 1,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.60 : 4,906.74 = 1,324.28 : x
  2. Step 2: Convert to fraction form
    3,272.60/4,906.74 = 1,324.28/x
  3. Step 3: Cross multiply
    3,272.60x = 4,906.74 × 1,324.28
  4. Step 4: Simplify right side
    3,272.60x = 6,497,897.65
  5. Step 5: Solve for x
    x = 6,497,897.65/3,272.60
  6. Step 6: Final answer
    x = 1,985.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.