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Finding the Fourth Proportional to 3,067.84, 4,601.12 and 988.03

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Solution

The fourth proportional to 3,067.84, 4,601.12 and 988.03 is: 1,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.84 : 4,601.12 = 988.03 : x
  2. Step 2: Convert to fraction form
    3,067.84/4,601.12 = 988.03/x
  3. Step 3: Cross multiply
    3,067.84x = 4,601.12 × 988.03
  4. Step 4: Simplify right side
    3,067.84x = 4,546,039.65
  5. Step 5: Solve for x
    x = 4,546,039.65/3,067.84
  6. Step 6: Final answer
    x = 1,481.84

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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.