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Finding the Fourth Proportional to 1,786.57, 2,679.83 and 799.12

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Solution

The fourth proportional to 1,786.57, 2,679.83 and 799.12 is: 1,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.57 : 2,679.83 = 799.12 : x
  2. Step 2: Convert to fraction form
    1,786.57/2,679.83 = 799.12/x
  3. Step 3: Cross multiply
    1,786.57x = 2,679.83 × 799.12
  4. Step 4: Simplify right side
    1,786.57x = 2,141,508.10
  5. Step 5: Solve for x
    x = 2,141,508.10/1,786.57
  6. Step 6: Final answer
    x = 1,198.67

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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.