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Finding the Fourth Proportional to 3,268, 4,900.38 and 1,076.68

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Solution

The fourth proportional to 3,268, 4,900.38 and 1,076.68 is: 1,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268 : 4,900.38 = 1,076.68 : x
  2. Step 2: Convert to fraction form
    3,268/4,900.38 = 1,076.68/x
  3. Step 3: Cross multiply
    3,268x = 4,900.38 × 1,076.68
  4. Step 4: Simplify right side
    3,268x = 5,276,141.14
  5. Step 5: Solve for x
    x = 5,276,141.14/3,268
  6. Step 6: Final answer
    x = 1,614.49

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Why These Related Problems?

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