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Finding the Fourth Proportional to 2,682.42, 4,023.90 and 833.04

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Solution

The fourth proportional to 2,682.42, 4,023.90 and 833.04 is: 1,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.42 : 4,023.90 = 833.04 : x
  2. Step 2: Convert to fraction form
    2,682.42/4,023.90 = 833.04/x
  3. Step 3: Cross multiply
    2,682.42x = 4,023.90 × 833.04
  4. Step 4: Simplify right side
    2,682.42x = 3,352,065.49
  5. Step 5: Solve for x
    x = 3,352,065.49/2,682.42
  6. Step 6: Final answer
    x = 1,249.64

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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.