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Finding the Fourth Proportional to 2,309.16, 3,463.22 and 665.34

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Solution

The fourth proportional to 2,309.16, 3,463.22 and 665.34 is: 997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.16 : 3,463.22 = 665.34 : x
  2. Step 2: Convert to fraction form
    2,309.16/3,463.22 = 665.34/x
  3. Step 3: Cross multiply
    2,309.16x = 3,463.22 × 665.34
  4. Step 4: Simplify right side
    2,309.16x = 2,304,218.79
  5. Step 5: Solve for x
    x = 2,304,218.79/2,309.16
  6. Step 6: Final answer
    x = 997.86

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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.