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Finding the Fourth Proportional to 3,310.52, 4,964.10 and 1,230.44

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Solution

The fourth proportional to 3,310.52, 4,964.10 and 1,230.44 is: 1,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.52 : 4,964.10 = 1,230.44 : x
  2. Step 2: Convert to fraction form
    3,310.52/4,964.10 = 1,230.44/x
  3. Step 3: Cross multiply
    3,310.52x = 4,964.10 × 1,230.44
  4. Step 4: Simplify right side
    3,310.52x = 6,108,027.20
  5. Step 5: Solve for x
    x = 6,108,027.20/3,310.52
  6. Step 6: Final answer
    x = 1,845.04

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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.