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Finding the Fourth Proportional to 1,738.25, 2,608.21 and 764.22

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Solution

The fourth proportional to 1,738.25, 2,608.21 and 764.22 is: 1,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.25 : 2,608.21 = 764.22 : x
  2. Step 2: Convert to fraction form
    1,738.25/2,608.21 = 764.22/x
  3. Step 3: Cross multiply
    1,738.25x = 2,608.21 × 764.22
  4. Step 4: Simplify right side
    1,738.25x = 1,993,246.25
  5. Step 5: Solve for x
    x = 1,993,246.25/1,738.25
  6. Step 6: Final answer
    x = 1,146.70

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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.