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Finding the Fourth Proportional to 2,608.25, 3,912.40 and 660.46

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Solution

The fourth proportional to 2,608.25, 3,912.40 and 660.46 is: 990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.25 : 3,912.40 = 660.46 : x
  2. Step 2: Convert to fraction form
    2,608.25/3,912.40 = 660.46/x
  3. Step 3: Cross multiply
    2,608.25x = 3,912.40 × 660.46
  4. Step 4: Simplify right side
    2,608.25x = 2,583,991.83
  5. Step 5: Solve for x
    x = 2,583,991.83/2,608.25
  6. Step 6: Final answer
    x = 990.70

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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.