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Finding the Fourth Proportional to 3,231.97, 4,845.22 and 1,283.72

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Solution

The fourth proportional to 3,231.97, 4,845.22 and 1,283.72 is: 1,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.97 : 4,845.22 = 1,283.72 : x
  2. Step 2: Convert to fraction form
    3,231.97/4,845.22 = 1,283.72/x
  3. Step 3: Cross multiply
    3,231.97x = 4,845.22 × 1,283.72
  4. Step 4: Simplify right side
    3,231.97x = 6,219,878.38
  5. Step 5: Solve for x
    x = 6,219,878.38/3,231.97
  6. Step 6: Final answer
    x = 1,924.49

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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.