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Finding the Fourth Proportional to 1,738.38, 2,608.60 and 917.22

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Solution

The fourth proportional to 1,738.38, 2,608.60 and 917.22 is: 1,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.38 : 2,608.60 = 917.22 : x
  2. Step 2: Convert to fraction form
    1,738.38/2,608.60 = 917.22/x
  3. Step 3: Cross multiply
    1,738.38x = 2,608.60 × 917.22
  4. Step 4: Simplify right side
    1,738.38x = 2,392,660.09
  5. Step 5: Solve for x
    x = 2,392,660.09/1,738.38
  6. Step 6: Final answer
    x = 1,376.37

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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.