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Finding the Fourth Proportional to 2,400.28, 3,600.44 and 668.80

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Solution

The fourth proportional to 2,400.28, 3,600.44 and 668.80 is: 1,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.28 : 3,600.44 = 668.80 : x
  2. Step 2: Convert to fraction form
    2,400.28/3,600.44 = 668.80/x
  3. Step 3: Cross multiply
    2,400.28x = 3,600.44 × 668.80
  4. Step 4: Simplify right side
    2,400.28x = 2,407,974.27
  5. Step 5: Solve for x
    x = 2,407,974.27/2,400.28
  6. Step 6: Final answer
    x = 1,003.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.