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Finding the Fourth Proportional to 2,441.70, 3,661.17 and 1,662.75

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Solution

The fourth proportional to 2,441.70, 3,661.17 and 1,662.75 is: 2,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.70 : 3,661.17 = 1,662.75 : x
  2. Step 2: Convert to fraction form
    2,441.70/3,661.17 = 1,662.75/x
  3. Step 3: Cross multiply
    2,441.70x = 3,661.17 × 1,662.75
  4. Step 4: Simplify right side
    2,441.70x = 6,087,610.42
  5. Step 5: Solve for x
    x = 6,087,610.42/2,441.70
  6. Step 6: Final answer
    x = 2,493.19

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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.