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Finding the Fourth Proportional to 3,287.75, 4,932.48 and 979.25

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Solution

The fourth proportional to 3,287.75, 4,932.48 and 979.25 is: 1,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.75 : 4,932.48 = 979.25 : x
  2. Step 2: Convert to fraction form
    3,287.75/4,932.48 = 979.25/x
  3. Step 3: Cross multiply
    3,287.75x = 4,932.48 × 979.25
  4. Step 4: Simplify right side
    3,287.75x = 4,830,131.04
  5. Step 5: Solve for x
    x = 4,830,131.04/3,287.75
  6. Step 6: Final answer
    x = 1,469.13

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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.