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Finding the Fourth Proportional to 2,203.73, 3,305.64 and 643.85

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Solution

The fourth proportional to 2,203.73, 3,305.64 and 643.85 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.73 : 3,305.64 = 643.85 : x
  2. Step 2: Convert to fraction form
    2,203.73/3,305.64 = 643.85/x
  3. Step 3: Cross multiply
    2,203.73x = 3,305.64 × 643.85
  4. Step 4: Simplify right side
    2,203.73x = 2,128,336.31
  5. Step 5: Solve for x
    x = 2,128,336.31/2,203.73
  6. Step 6: Final answer
    x = 965.79

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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.