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Finding the Fourth Proportional to 2,589.15, 3,882.54 and 833.83

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Solution

The fourth proportional to 2,589.15, 3,882.54 and 833.83 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.15 : 3,882.54 = 833.83 : x
  2. Step 2: Convert to fraction form
    2,589.15/3,882.54 = 833.83/x
  3. Step 3: Cross multiply
    2,589.15x = 3,882.54 × 833.83
  4. Step 4: Simplify right side
    2,589.15x = 3,237,380.05
  5. Step 5: Solve for x
    x = 3,237,380.05/2,589.15
  6. Step 6: Final answer
    x = 1,250.36

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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.