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Finding the Fourth Proportional to 3,040.62, 4,561.53 and 960.81

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Solution

The fourth proportional to 3,040.62, 4,561.53 and 960.81 is: 1,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.62 : 4,561.53 = 960.81 : x
  2. Step 2: Convert to fraction form
    3,040.62/4,561.53 = 960.81/x
  3. Step 3: Cross multiply
    3,040.62x = 4,561.53 × 960.81
  4. Step 4: Simplify right side
    3,040.62x = 4,382,775.04
  5. Step 5: Solve for x
    x = 4,382,775.04/3,040.62
  6. Step 6: Final answer
    x = 1,441.41

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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.