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Finding the Fourth Proportional to 2,441.83, 3,661 and 1,142.59

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Solution

The fourth proportional to 2,441.83, 3,661 and 1,142.59 is: 1,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.83 : 3,661 = 1,142.59 : x
  2. Step 2: Convert to fraction form
    2,441.83/3,661 = 1,142.59/x
  3. Step 3: Cross multiply
    2,441.83x = 3,661 × 1,142.59
  4. Step 4: Simplify right side
    2,441.83x = 4,183,021.99
  5. Step 5: Solve for x
    x = 4,183,021.99/2,441.83
  6. Step 6: Final answer
    x = 1,713.07

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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.