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Finding the Fourth Proportional to 2,780.87, 4,171.37 and 833.09

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Solution

The fourth proportional to 2,780.87, 4,171.37 and 833.09 is: 1,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.87 : 4,171.37 = 833.09 : x
  2. Step 2: Convert to fraction form
    2,780.87/4,171.37 = 833.09/x
  3. Step 3: Cross multiply
    2,780.87x = 4,171.37 × 833.09
  4. Step 4: Simplify right side
    2,780.87x = 3,475,101.61
  5. Step 5: Solve for x
    x = 3,475,101.61/2,780.87
  6. Step 6: Final answer
    x = 1,249.65

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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.