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Finding the Fourth Proportional to 2,308.05, 3,462.68 and 664.73

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Solution

The fourth proportional to 2,308.05, 3,462.68 and 664.73 is: 997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.05 : 3,462.68 = 664.73 : x
  2. Step 2: Convert to fraction form
    2,308.05/3,462.68 = 664.73/x
  3. Step 3: Cross multiply
    2,308.05x = 3,462.68 × 664.73
  4. Step 4: Simplify right side
    2,308.05x = 2,301,744.61
  5. Step 5: Solve for x
    x = 2,301,744.61/2,308.05
  6. Step 6: Final answer
    x = 997.27

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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.