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Finding the Fourth Proportional to 2,204.34, 3,305.54 and 835.38

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Solution

The fourth proportional to 2,204.34, 3,305.54 and 835.38 is: 1,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.34 : 3,305.54 = 835.38 : x
  2. Step 2: Convert to fraction form
    2,204.34/3,305.54 = 835.38/x
  3. Step 3: Cross multiply
    2,204.34x = 3,305.54 × 835.38
  4. Step 4: Simplify right side
    2,204.34x = 2,761,382.01
  5. Step 5: Solve for x
    x = 2,761,382.01/2,204.34
  6. Step 6: Final answer
    x = 1,252.70

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Why These Related Problems?

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