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Finding the Fourth Proportional to 3,287.24, 4,935.74 and 1,343.24

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Solution

The fourth proportional to 3,287.24, 4,935.74 and 1,343.24 is: 2,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.24 : 4,935.74 = 1,343.24 : x
  2. Step 2: Convert to fraction form
    3,287.24/4,935.74 = 1,343.24/x
  3. Step 3: Cross multiply
    3,287.24x = 4,935.74 × 1,343.24
  4. Step 4: Simplify right side
    3,287.24x = 6,629,883.40
  5. Step 5: Solve for x
    x = 6,629,883.40/3,287.24
  6. Step 6: Final answer
    x = 2,016.85

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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.