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Finding the Fourth Proportional to 2,059.26, 2,841.66 and 1,163

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Solution

The fourth proportional to 2,059.26, 2,841.66 and 1,163 is: 1,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.26 : 2,841.66 = 1,163 : x
  2. Step 2: Convert to fraction form
    2,059.26/2,841.66 = 1,163/x
  3. Step 3: Cross multiply
    2,059.26x = 2,841.66 × 1,163
  4. Step 4: Simplify right side
    2,059.26x = 3,304,850.58
  5. Step 5: Solve for x
    x = 3,304,850.58/2,059.26
  6. Step 6: Final answer
    x = 1,604.87

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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.