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Finding the Fourth Proportional to 2,004.44, 3,007.23 and 617.96

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Solution

The fourth proportional to 2,004.44, 3,007.23 and 617.96 is: 927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.44 : 3,007.23 = 617.96 : x
  2. Step 2: Convert to fraction form
    2,004.44/3,007.23 = 617.96/x
  3. Step 3: Cross multiply
    2,004.44x = 3,007.23 × 617.96
  4. Step 4: Simplify right side
    2,004.44x = 1,858,344.76
  5. Step 5: Solve for x
    x = 1,858,344.76/2,004.44
  6. Step 6: Final answer
    x = 927.12

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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.