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Finding the Fourth Proportional to 1,697.75, 2,550.44 and 1,205.27

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Solution

The fourth proportional to 1,697.75, 2,550.44 and 1,205.27 is: 1,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.75 : 2,550.44 = 1,205.27 : x
  2. Step 2: Convert to fraction form
    1,697.75/2,550.44 = 1,205.27/x
  3. Step 3: Cross multiply
    1,697.75x = 2,550.44 × 1,205.27
  4. Step 4: Simplify right side
    1,697.75x = 3,073,968.82
  5. Step 5: Solve for x
    x = 3,073,968.82/1,697.75
  6. Step 6: Final answer
    x = 1,810.61

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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.