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Finding the Fourth Proportional to 2,204.29, 3,305.67 and 887.65

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Solution

The fourth proportional to 2,204.29, 3,305.67 and 887.65 is: 1,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.29 : 3,305.67 = 887.65 : x
  2. Step 2: Convert to fraction form
    2,204.29/3,305.67 = 887.65/x
  3. Step 3: Cross multiply
    2,204.29x = 3,305.67 × 887.65
  4. Step 4: Simplify right side
    2,204.29x = 2,934,277.98
  5. Step 5: Solve for x
    x = 2,934,277.98/2,204.29
  6. Step 6: Final answer
    x = 1,331.17

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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.