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Finding the Fourth Proportional to 2,203.50, 3,305.80 and 664.50

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Solution

The fourth proportional to 2,203.50, 3,305.80 and 664.50 is: 996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.50 : 3,305.80 = 664.50 : x
  2. Step 2: Convert to fraction form
    2,203.50/3,305.80 = 664.50/x
  3. Step 3: Cross multiply
    2,203.50x = 3,305.80 × 664.50
  4. Step 4: Simplify right side
    2,203.50x = 2,196,704.10
  5. Step 5: Solve for x
    x = 2,196,704.10/2,203.50
  6. Step 6: Final answer
    x = 996.92

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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.