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Finding the Fourth Proportional to 2,203.56, 3,302.10 and 1,335.78

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Solution

The fourth proportional to 2,203.56, 3,302.10 and 1,335.78 is: 2,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.56 : 3,302.10 = 1,335.78 : x
  2. Step 2: Convert to fraction form
    2,203.56/3,302.10 = 1,335.78/x
  3. Step 3: Cross multiply
    2,203.56x = 3,302.10 × 1,335.78
  4. Step 4: Simplify right side
    2,203.56x = 4,410,879.14
  5. Step 5: Solve for x
    x = 4,410,879.14/2,203.56
  6. Step 6: Final answer
    x = 2,001.71

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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.