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Finding the Fourth Proportional to 2,786.52, 3,836.64 and 2,366

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Solution

The fourth proportional to 2,786.52, 3,836.64 and 2,366 is: 3,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.52 : 3,836.64 = 2,366 : x
  2. Step 2: Convert to fraction form
    2,786.52/3,836.64 = 2,366/x
  3. Step 3: Cross multiply
    2,786.52x = 3,836.64 × 2,366
  4. Step 4: Simplify right side
    2,786.52x = 9,077,490.24
  5. Step 5: Solve for x
    x = 9,077,490.24/2,786.52
  6. Step 6: Final answer
    x = 3,257.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.