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Finding the Fourth Proportional to 2,308.44, 3,462.06 and 664.62

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Solution

The fourth proportional to 2,308.44, 3,462.06 and 664.62 is: 996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.44 : 3,462.06 = 664.62 : x
  2. Step 2: Convert to fraction form
    2,308.44/3,462.06 = 664.62/x
  3. Step 3: Cross multiply
    2,308.44x = 3,462.06 × 664.62
  4. Step 4: Simplify right side
    2,308.44x = 2,300,954.32
  5. Step 5: Solve for x
    x = 2,300,954.32/2,308.44
  6. Step 6: Final answer
    x = 996.76

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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.