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Finding the Fourth Proportional to 1,738.69, 2,608.17 and 712.69

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Solution

The fourth proportional to 1,738.69, 2,608.17 and 712.69 is: 1,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.69 : 2,608.17 = 712.69 : x
  2. Step 2: Convert to fraction form
    1,738.69/2,608.17 = 712.69/x
  3. Step 3: Cross multiply
    1,738.69x = 2,608.17 × 712.69
  4. Step 4: Simplify right side
    1,738.69x = 1,858,810.16
  5. Step 5: Solve for x
    x = 1,858,810.16/1,738.69
  6. Step 6: Final answer
    x = 1,069.09

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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.