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Finding the Fourth Proportional to 2,203.93, 3,302.07 and 1,336.42

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Solution

The fourth proportional to 2,203.93, 3,302.07 and 1,336.42 is: 2,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.93 : 3,302.07 = 1,336.42 : x
  2. Step 2: Convert to fraction form
    2,203.93/3,302.07 = 1,336.42/x
  3. Step 3: Cross multiply
    2,203.93x = 3,302.07 × 1,336.42
  4. Step 4: Simplify right side
    2,203.93x = 4,412,952.39
  5. Step 5: Solve for x
    x = 4,412,952.39/2,203.93
  6. Step 6: Final answer
    x = 2,002.31

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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.