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Finding the Fourth Proportional to 2,203.78, 3,305.64 and 664.78

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Solution

The fourth proportional to 2,203.78, 3,305.64 and 664.78 is: 997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.78 : 3,305.64 = 664.78 : x
  2. Step 2: Convert to fraction form
    2,203.78/3,305.64 = 664.78/x
  3. Step 3: Cross multiply
    2,203.78x = 3,305.64 × 664.78
  4. Step 4: Simplify right side
    2,203.78x = 2,197,523.36
  5. Step 5: Solve for x
    x = 2,197,523.36/2,203.78
  6. Step 6: Final answer
    x = 997.16

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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.