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Finding the Fourth Proportional to 2,203.52, 3,305.61 and 818.82

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Solution

The fourth proportional to 2,203.52, 3,305.61 and 818.82 is: 1,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.52 : 3,305.61 = 818.82 : x
  2. Step 2: Convert to fraction form
    2,203.52/3,305.61 = 818.82/x
  3. Step 3: Cross multiply
    2,203.52x = 3,305.61 × 818.82
  4. Step 4: Simplify right side
    2,203.52x = 2,706,699.58
  5. Step 5: Solve for x
    x = 2,706,699.58/2,203.52
  6. Step 6: Final answer
    x = 1,228.36

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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.