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Finding the Fourth Proportional to 2,059.72, 2,841.72 and 1,163.33

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Solution

The fourth proportional to 2,059.72, 2,841.72 and 1,163.33 is: 1,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.72 : 2,841.72 = 1,163.33 : x
  2. Step 2: Convert to fraction form
    2,059.72/2,841.72 = 1,163.33/x
  3. Step 3: Cross multiply
    2,059.72x = 2,841.72 × 1,163.33
  4. Step 4: Simplify right side
    2,059.72x = 3,305,867.11
  5. Step 5: Solve for x
    x = 3,305,867.11/2,059.72
  6. Step 6: Final answer
    x = 1,605.01

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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.