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Finding the Fourth Proportional to 4,661.80, 6,991.31 and 2,469.33

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Solution

The fourth proportional to 4,661.80, 6,991.31 and 2,469.33 is: 3,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.80 : 6,991.31 = 2,469.33 : x
  2. Step 2: Convert to fraction form
    4,661.80/6,991.31 = 2,469.33/x
  3. Step 3: Cross multiply
    4,661.80x = 6,991.31 × 2,469.33
  4. Step 4: Simplify right side
    4,661.80x = 17,263,851.52
  5. Step 5: Solve for x
    x = 17,263,851.52/4,661.80
  6. Step 6: Final answer
    x = 3,703.26

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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.