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Finding the Fourth Proportional to 3,181.52, 4,772.24 and 873

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Solution

The fourth proportional to 3,181.52, 4,772.24 and 873 is: 1,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.52 : 4,772.24 = 873 : x
  2. Step 2: Convert to fraction form
    3,181.52/4,772.24 = 873/x
  3. Step 3: Cross multiply
    3,181.52x = 4,772.24 × 873
  4. Step 4: Simplify right side
    3,181.52x = 4,166,165.52
  5. Step 5: Solve for x
    x = 4,166,165.52/3,181.52
  6. Step 6: Final answer
    x = 1,309.49

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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.