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Finding the Fourth Proportional to 2,203.36, 3,305.03 and 559.91

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Solution

The fourth proportional to 2,203.36, 3,305.03 and 559.91 is: 839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.36 : 3,305.03 = 559.91 : x
  2. Step 2: Convert to fraction form
    2,203.36/3,305.03 = 559.91/x
  3. Step 3: Cross multiply
    2,203.36x = 3,305.03 × 559.91
  4. Step 4: Simplify right side
    2,203.36x = 1,850,502.12
  5. Step 5: Solve for x
    x = 1,850,502.12/2,203.36
  6. Step 6: Final answer
    x = 839.85

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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.