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Finding the Fourth Proportional to 2,588.76, 3,883.90 and 833.73

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Solution

The fourth proportional to 2,588.76, 3,883.90 and 833.73 is: 1,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.76 : 3,883.90 = 833.73 : x
  2. Step 2: Convert to fraction form
    2,588.76/3,883.90 = 833.73/x
  3. Step 3: Cross multiply
    2,588.76x = 3,883.90 × 833.73
  4. Step 4: Simplify right side
    2,588.76x = 3,238,115.28
  5. Step 5: Solve for x
    x = 3,238,115.28/2,588.76
  6. Step 6: Final answer
    x = 1,250.83

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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.