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Finding the Fourth Proportional to 2,961.41, 4,441.21 and 1,229.63

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Solution

The fourth proportional to 2,961.41, 4,441.21 and 1,229.63 is: 1,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.41 : 4,441.21 = 1,229.63 : x
  2. Step 2: Convert to fraction form
    2,961.41/4,441.21 = 1,229.63/x
  3. Step 3: Cross multiply
    2,961.41x = 4,441.21 × 1,229.63
  4. Step 4: Simplify right side
    2,961.41x = 5,461,019.77
  5. Step 5: Solve for x
    x = 5,461,019.77/2,961.41
  6. Step 6: Final answer
    x = 1,844.06

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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.