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Finding the Fourth Proportional to 2,678, 3,694.80 and 1,684.28

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Solution

The fourth proportional to 2,678, 3,694.80 and 1,684.28 is: 2,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678 : 3,694.80 = 1,684.28 : x
  2. Step 2: Convert to fraction form
    2,678/3,694.80 = 1,684.28/x
  3. Step 3: Cross multiply
    2,678x = 3,694.80 × 1,684.28
  4. Step 4: Simplify right side
    2,678x = 6,223,077.74
  5. Step 5: Solve for x
    x = 6,223,077.74/2,678
  6. Step 6: Final answer
    x = 2,323.78

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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.