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Finding the Fourth Proportional to 4,268, 6,402.75 and 1,635.39

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Solution

The fourth proportional to 4,268, 6,402.75 and 1,635.39 is: 2,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268 : 6,402.75 = 1,635.39 : x
  2. Step 2: Convert to fraction form
    4,268/6,402.75 = 1,635.39/x
  3. Step 3: Cross multiply
    4,268x = 6,402.75 × 1,635.39
  4. Step 4: Simplify right side
    4,268x = 10,470,993.32
  5. Step 5: Solve for x
    x = 10,470,993.32/4,268
  6. Step 6: Final answer
    x = 2,453.37

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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.