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Finding the Fourth Proportional to 2,308.92, 3,463.29 and 665.43

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Solution

The fourth proportional to 2,308.92, 3,463.29 and 665.43 is: 998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.92 : 3,463.29 = 665.43 : x
  2. Step 2: Convert to fraction form
    2,308.92/3,463.29 = 665.43/x
  3. Step 3: Cross multiply
    2,308.92x = 3,463.29 × 665.43
  4. Step 4: Simplify right side
    2,308.92x = 2,304,577.06
  5. Step 5: Solve for x
    x = 2,304,577.06/2,308.92
  6. Step 6: Final answer
    x = 998.12

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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.