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Finding the Fourth Proportional to 4,002.22, 5,999.17 and 1,663.50

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Solution

The fourth proportional to 4,002.22, 5,999.17 and 1,663.50 is: 2,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.22 : 5,999.17 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    4,002.22/5,999.17 = 1,663.50/x
  3. Step 3: Cross multiply
    4,002.22x = 5,999.17 × 1,663.50
  4. Step 4: Simplify right side
    4,002.22x = 9,979,621.37
  5. Step 5: Solve for x
    x = 9,979,621.37/4,002.22
  6. Step 6: Final answer
    x = 2,493.52

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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.