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Finding the Fourth Proportional to 2,204.10, 3,305.83 and 643.68

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Solution

The fourth proportional to 2,204.10, 3,305.83 and 643.68 is: 965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.10 : 3,305.83 = 643.68 : x
  2. Step 2: Convert to fraction form
    2,204.10/3,305.83 = 643.68/x
  3. Step 3: Cross multiply
    2,204.10x = 3,305.83 × 643.68
  4. Step 4: Simplify right side
    2,204.10x = 2,127,896.65
  5. Step 5: Solve for x
    x = 2,127,896.65/2,204.10
  6. Step 6: Final answer
    x = 965.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.