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Finding the Fourth Proportional to 2,207.14, 3,308.55 and 908.26

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Solution

The fourth proportional to 2,207.14, 3,308.55 and 908.26 is: 1,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.14 : 3,308.55 = 908.26 : x
  2. Step 2: Convert to fraction form
    2,207.14/3,308.55 = 908.26/x
  3. Step 3: Cross multiply
    2,207.14x = 3,308.55 × 908.26
  4. Step 4: Simplify right side
    2,207.14x = 3,005,023.62
  5. Step 5: Solve for x
    x = 3,005,023.62/2,207.14
  6. Step 6: Final answer
    x = 1,361.50

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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.