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Finding the Fourth Proportional to 4,231.94, 6,346.17 and 1,269.34

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Solution

The fourth proportional to 4,231.94, 6,346.17 and 1,269.34 is: 1,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.94 : 6,346.17 = 1,269.34 : x
  2. Step 2: Convert to fraction form
    4,231.94/6,346.17 = 1,269.34/x
  3. Step 3: Cross multiply
    4,231.94x = 6,346.17 × 1,269.34
  4. Step 4: Simplify right side
    4,231.94x = 8,055,431.56
  5. Step 5: Solve for x
    x = 8,055,431.56/4,231.94
  6. Step 6: Final answer
    x = 1,903.49

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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.