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Finding the Fourth Proportional to 2,164.97, 3,248.20 and 684.41

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Solution

The fourth proportional to 2,164.97, 3,248.20 and 684.41 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.97 : 3,248.20 = 684.41 : x
  2. Step 2: Convert to fraction form
    2,164.97/3,248.20 = 684.41/x
  3. Step 3: Cross multiply
    2,164.97x = 3,248.20 × 684.41
  4. Step 4: Simplify right side
    2,164.97x = 2,223,100.56
  5. Step 5: Solve for x
    x = 2,223,100.56/2,164.97
  6. Step 6: Final answer
    x = 1,026.85

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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.