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Finding the Fourth Proportional to 1,738.46, 2,608.32 and 814.31

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Solution

The fourth proportional to 1,738.46, 2,608.32 and 814.31 is: 1,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.46 : 2,608.32 = 814.31 : x
  2. Step 2: Convert to fraction form
    1,738.46/2,608.32 = 814.31/x
  3. Step 3: Cross multiply
    1,738.46x = 2,608.32 × 814.31
  4. Step 4: Simplify right side
    1,738.46x = 2,123,981.06
  5. Step 5: Solve for x
    x = 2,123,981.06/1,738.46
  6. Step 6: Final answer
    x = 1,221.76

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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.