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Finding the Fourth Proportional to 3,310.69, 4,966.03 and 1,231.22

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Solution

The fourth proportional to 3,310.69, 4,966.03 and 1,231.22 is: 1,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.69 : 4,966.03 = 1,231.22 : x
  2. Step 2: Convert to fraction form
    3,310.69/4,966.03 = 1,231.22/x
  3. Step 3: Cross multiply
    3,310.69x = 4,966.03 × 1,231.22
  4. Step 4: Simplify right side
    3,310.69x = 6,114,250.63
  5. Step 5: Solve for x
    x = 6,114,250.63/3,310.69
  6. Step 6: Final answer
    x = 1,846.82

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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.