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Finding the Fourth Proportional to 2,217.30, 3,325.96 and 756.34

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Solution

The fourth proportional to 2,217.30, 3,325.96 and 756.34 is: 1,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.30 : 3,325.96 = 756.34 : x
  2. Step 2: Convert to fraction form
    2,217.30/3,325.96 = 756.34/x
  3. Step 3: Cross multiply
    2,217.30x = 3,325.96 × 756.34
  4. Step 4: Simplify right side
    2,217.30x = 2,515,556.59
  5. Step 5: Solve for x
    x = 2,515,556.59/2,217.30
  6. Step 6: Final answer
    x = 1,134.51

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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.