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Finding the Fourth Proportional to 2,059.49, 2,841.80 and 1,163.08

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Solution

The fourth proportional to 2,059.49, 2,841.80 and 1,163.08 is: 1,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.49 : 2,841.80 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    2,059.49/2,841.80 = 1,163.08/x
  3. Step 3: Cross multiply
    2,059.49x = 2,841.80 × 1,163.08
  4. Step 4: Simplify right side
    2,059.49x = 3,305,236.55
  5. Step 5: Solve for x
    x = 3,305,236.55/2,059.49
  6. Step 6: Final answer
    x = 1,604.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.