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Finding the Fourth Proportional to 2,179.50, 3,268.63 and 698.41

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Solution

The fourth proportional to 2,179.50, 3,268.63 and 698.41 is: 1,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.50 : 3,268.63 = 698.41 : x
  2. Step 2: Convert to fraction form
    2,179.50/3,268.63 = 698.41/x
  3. Step 3: Cross multiply
    2,179.50x = 3,268.63 × 698.41
  4. Step 4: Simplify right side
    2,179.50x = 2,282,843.88
  5. Step 5: Solve for x
    x = 2,282,843.88/2,179.50
  6. Step 6: Final answer
    x = 1,047.42

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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.