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Finding the Fourth Proportional to 2,108.00, 2,908.82 and 1,163.84

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Solution

The fourth proportional to 2,108.00, 2,908.82 and 1,163.84 is: 1,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.00 : 2,908.82 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    2,108.00/2,908.82 = 1,163.84/x
  3. Step 3: Cross multiply
    2,108.00x = 2,908.82 × 1,163.84
  4. Step 4: Simplify right side
    2,108.00x = 3,385,389.43
  5. Step 5: Solve for x
    x = 3,385,389.43/2,108.00
  6. Step 6: Final answer
    x = 1,605.97

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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.