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Finding the Fourth Proportional to 2,179.46, 3,269.64 and 881.03

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Solution

The fourth proportional to 2,179.46, 3,269.64 and 881.03 is: 1,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.46 : 3,269.64 = 881.03 : x
  2. Step 2: Convert to fraction form
    2,179.46/3,269.64 = 881.03/x
  3. Step 3: Cross multiply
    2,179.46x = 3,269.64 × 881.03
  4. Step 4: Simplify right side
    2,179.46x = 2,880,650.93
  5. Step 5: Solve for x
    x = 2,880,650.93/2,179.46
  6. Step 6: Final answer
    x = 1,321.73

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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.