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Finding the Fourth Proportional to 2,095.44, 3,141.26 and 795.97

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Solution

The fourth proportional to 2,095.44, 3,141.26 and 795.97 is: 1,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.44 : 3,141.26 = 795.97 : x
  2. Step 2: Convert to fraction form
    2,095.44/3,141.26 = 795.97/x
  3. Step 3: Cross multiply
    2,095.44x = 3,141.26 × 795.97
  4. Step 4: Simplify right side
    2,095.44x = 2,500,348.72
  5. Step 5: Solve for x
    x = 2,500,348.72/2,095.44
  6. Step 6: Final answer
    x = 1,193.23

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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.