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Finding the Fourth Proportional to 2,682.81, 4,023.72 and 833.58

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Solution

The fourth proportional to 2,682.81, 4,023.72 and 833.58 is: 1,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.81 : 4,023.72 = 833.58 : x
  2. Step 2: Convert to fraction form
    2,682.81/4,023.72 = 833.58/x
  3. Step 3: Cross multiply
    2,682.81x = 4,023.72 × 833.58
  4. Step 4: Simplify right side
    2,682.81x = 3,354,092.52
  5. Step 5: Solve for x
    x = 3,354,092.52/2,682.81
  6. Step 6: Final answer
    x = 1,250.22

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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.