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Finding the Fourth Proportional to 4,661.97, 6,982.89 and 2,193.09

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Solution

The fourth proportional to 4,661.97, 6,982.89 and 2,193.09 is: 3,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.97 : 6,982.89 = 2,193.09 : x
  2. Step 2: Convert to fraction form
    4,661.97/6,982.89 = 2,193.09/x
  3. Step 3: Cross multiply
    4,661.97x = 6,982.89 × 2,193.09
  4. Step 4: Simplify right side
    4,661.97x = 15,314,106.23
  5. Step 5: Solve for x
    x = 15,314,106.23/4,661.97
  6. Step 6: Final answer
    x = 3,284.90

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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.