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Finding the Fourth Proportional to 2,400.24, 3,600.52 and 668.86

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Solution

The fourth proportional to 2,400.24, 3,600.52 and 668.86 is: 1,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.24 : 3,600.52 = 668.86 : x
  2. Step 2: Convert to fraction form
    2,400.24/3,600.52 = 668.86/x
  3. Step 3: Cross multiply
    2,400.24x = 3,600.52 × 668.86
  4. Step 4: Simplify right side
    2,400.24x = 2,408,243.81
  5. Step 5: Solve for x
    x = 2,408,243.81/2,400.24
  6. Step 6: Final answer
    x = 1,003.33

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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.