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Finding the Fourth Proportional to 2,961.03, 4,441.10 and 1,012.78

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Solution

The fourth proportional to 2,961.03, 4,441.10 and 1,012.78 is: 1,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.03 : 4,441.10 = 1,012.78 : x
  2. Step 2: Convert to fraction form
    2,961.03/4,441.10 = 1,012.78/x
  3. Step 3: Cross multiply
    2,961.03x = 4,441.10 × 1,012.78
  4. Step 4: Simplify right side
    2,961.03x = 4,497,857.75
  5. Step 5: Solve for x
    x = 4,497,857.75/2,961.03
  6. Step 6: Final answer
    x = 1,519.02

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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.