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Finding the Fourth Proportional to 2,221.31, 3,328.31 and 759.66

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Solution

The fourth proportional to 2,221.31, 3,328.31 and 759.66 is: 1,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.31 : 3,328.31 = 759.66 : x
  2. Step 2: Convert to fraction form
    2,221.31/3,328.31 = 759.66/x
  3. Step 3: Cross multiply
    2,221.31x = 3,328.31 × 759.66
  4. Step 4: Simplify right side
    2,221.31x = 2,528,380.18
  5. Step 5: Solve for x
    x = 2,528,380.18/2,221.31
  6. Step 6: Final answer
    x = 1,138.24

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1.5x scale

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.