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Finding the Fourth Proportional to 2,255.27, 3,382.85 and 695.23

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Solution

The fourth proportional to 2,255.27, 3,382.85 and 695.23 is: 1,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.27 : 3,382.85 = 695.23 : x
  2. Step 2: Convert to fraction form
    2,255.27/3,382.85 = 695.23/x
  3. Step 3: Cross multiply
    2,255.27x = 3,382.85 × 695.23
  4. Step 4: Simplify right side
    2,255.27x = 2,351,852.09
  5. Step 5: Solve for x
    x = 2,351,852.09/2,255.27
  6. Step 6: Final answer
    x = 1,042.83

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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.