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Finding the Fourth Proportional to 4,664.05, 6,996.17 and 1,201.30

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Solution

The fourth proportional to 4,664.05, 6,996.17 and 1,201.30 is: 1,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.05 : 6,996.17 = 1,201.30 : x
  2. Step 2: Convert to fraction form
    4,664.05/6,996.17 = 1,201.30/x
  3. Step 3: Cross multiply
    4,664.05x = 6,996.17 × 1,201.30
  4. Step 4: Simplify right side
    4,664.05x = 8,404,499.02
  5. Step 5: Solve for x
    x = 8,404,499.02/4,664.05
  6. Step 6: Final answer
    x = 1,801.97

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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.