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Finding the Fourth Proportional to 2,221.24, 3,331.84 and 682.24

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Solution

The fourth proportional to 2,221.24, 3,331.84 and 682.24 is: 1,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.24 : 3,331.84 = 682.24 : x
  2. Step 2: Convert to fraction form
    2,221.24/3,331.84 = 682.24/x
  3. Step 3: Cross multiply
    2,221.24x = 3,331.84 × 682.24
  4. Step 4: Simplify right side
    2,221.24x = 2,273,114.52
  5. Step 5: Solve for x
    x = 2,273,114.52/2,221.24
  6. Step 6: Final answer
    x = 1,023.35

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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.