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Finding the Fourth Proportional to 2,107.96, 2,908.84 and 1,163.58

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Solution

The fourth proportional to 2,107.96, 2,908.84 and 1,163.58 is: 1,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.96 : 2,908.84 = 1,163.58 : x
  2. Step 2: Convert to fraction form
    2,107.96/2,908.84 = 1,163.58/x
  3. Step 3: Cross multiply
    2,107.96x = 2,908.84 × 1,163.58
  4. Step 4: Simplify right side
    2,107.96x = 3,384,668.05
  5. Step 5: Solve for x
    x = 3,384,668.05/2,107.96
  6. Step 6: Final answer
    x = 1,605.66

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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.