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Finding the Fourth Proportional to 2,682.32, 4,022.26 and 832.88

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Solution

The fourth proportional to 2,682.32, 4,022.26 and 832.88 is: 1,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 4,022.26 = 832.88 : x
  2. Step 2: Convert to fraction form
    2,682.32/4,022.26 = 832.88/x
  3. Step 3: Cross multiply
    2,682.32x = 4,022.26 × 832.88
  4. Step 4: Simplify right side
    2,682.32x = 3,350,067.88
  5. Step 5: Solve for x
    x = 3,350,067.88/2,682.32
  6. Step 6: Final answer
    x = 1,248.95

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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.