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Finding the Fourth Proportional to 2,309.49, 3,463.82 and 665.66

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Solution

The fourth proportional to 2,309.49, 3,463.82 and 665.66 is: 998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.49 : 3,463.82 = 665.66 : x
  2. Step 2: Convert to fraction form
    2,309.49/3,463.82 = 665.66/x
  3. Step 3: Cross multiply
    2,309.49x = 3,463.82 × 665.66
  4. Step 4: Simplify right side
    2,309.49x = 2,305,705.77
  5. Step 5: Solve for x
    x = 2,305,705.77/2,309.49
  6. Step 6: Final answer
    x = 998.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.