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Finding the Fourth Proportional to 3,040.75, 4,561.73 and 961.08

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Solution

The fourth proportional to 3,040.75, 4,561.73 and 961.08 is: 1,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.75 : 4,561.73 = 961.08 : x
  2. Step 2: Convert to fraction form
    3,040.75/4,561.73 = 961.08/x
  3. Step 3: Cross multiply
    3,040.75x = 4,561.73 × 961.08
  4. Step 4: Simplify right side
    3,040.75x = 4,384,187.47
  5. Step 5: Solve for x
    x = 4,384,187.47/3,040.75
  6. Step 6: Final answer
    x = 1,441.81

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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.