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Finding the Fourth Proportional to 2,738.25, 4,107.99 and 790.31

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Solution

The fourth proportional to 2,738.25, 4,107.99 and 790.31 is: 1,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.25 : 4,107.99 = 790.31 : x
  2. Step 2: Convert to fraction form
    2,738.25/4,107.99 = 790.31/x
  3. Step 3: Cross multiply
    2,738.25x = 4,107.99 × 790.31
  4. Step 4: Simplify right side
    2,738.25x = 3,246,565.04
  5. Step 5: Solve for x
    x = 3,246,565.04/2,738.25
  6. Step 6: Final answer
    x = 1,185.63

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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.