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Finding the Fourth Proportional to 2,961.09, 4,441.64 and 881.09

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Solution

The fourth proportional to 2,961.09, 4,441.64 and 881.09 is: 1,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.09 : 4,441.64 = 881.09 : x
  2. Step 2: Convert to fraction form
    2,961.09/4,441.64 = 881.09/x
  3. Step 3: Cross multiply
    2,961.09x = 4,441.64 × 881.09
  4. Step 4: Simplify right side
    2,961.09x = 3,913,457.97
  5. Step 5: Solve for x
    x = 3,913,457.97/2,961.09
  6. Step 6: Final answer
    x = 1,321.63

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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.