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Finding the Fourth Proportional to 3,041, 4,561.94 and 960.30

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Solution

The fourth proportional to 3,041, 4,561.94 and 960.30 is: 1,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041 : 4,561.94 = 960.30 : x
  2. Step 2: Convert to fraction form
    3,041/4,561.94 = 960.30/x
  3. Step 3: Cross multiply
    3,041x = 4,561.94 × 960.30
  4. Step 4: Simplify right side
    3,041x = 4,380,830.98
  5. Step 5: Solve for x
    x = 4,380,830.98/3,041
  6. Step 6: Final answer
    x = 1,440.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.