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Finding the Fourth Proportional to 2,183.69, 3,272.42 and 1,259.48

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Solution

The fourth proportional to 2,183.69, 3,272.42 and 1,259.48 is: 1,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.69 : 3,272.42 = 1,259.48 : x
  2. Step 2: Convert to fraction form
    2,183.69/3,272.42 = 1,259.48/x
  3. Step 3: Cross multiply
    2,183.69x = 3,272.42 × 1,259.48
  4. Step 4: Simplify right side
    2,183.69x = 4,121,558.87
  5. Step 5: Solve for x
    x = 4,121,558.87/2,183.69
  6. Step 6: Final answer
    x = 1,887.43

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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.