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Finding the Fourth Proportional to 3,293.36, 4,932.03 and 1,734.68

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Solution

The fourth proportional to 3,293.36, 4,932.03 and 1,734.68 is: 2,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.36 : 4,932.03 = 1,734.68 : x
  2. Step 2: Convert to fraction form
    3,293.36/4,932.03 = 1,734.68/x
  3. Step 3: Cross multiply
    3,293.36x = 4,932.03 × 1,734.68
  4. Step 4: Simplify right side
    3,293.36x = 8,555,469.14
  5. Step 5: Solve for x
    x = 8,555,469.14/3,293.36
  6. Step 6: Final answer
    x = 2,597.80

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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.