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Finding the Fourth Proportional to 2,786.83, 4,183.28 and 2,095.48

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Solution

The fourth proportional to 2,786.83, 4,183.28 and 2,095.48 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.83 : 4,183.28 = 2,095.48 : x
  2. Step 2: Convert to fraction form
    2,786.83/4,183.28 = 2,095.48/x
  3. Step 3: Cross multiply
    2,786.83x = 4,183.28 × 2,095.48
  4. Step 4: Simplify right side
    2,786.83x = 8,765,969.10
  5. Step 5: Solve for x
    x = 8,765,969.10/2,786.83
  6. Step 6: Final answer
    x = 3,145.50

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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.