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Finding the Fourth Proportional to 2,094.83, 3,143.61 and 796.31

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Solution

The fourth proportional to 2,094.83, 3,143.61 and 796.31 is: 1,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.83 : 3,143.61 = 796.31 : x
  2. Step 2: Convert to fraction form
    2,094.83/3,143.61 = 796.31/x
  3. Step 3: Cross multiply
    2,094.83x = 3,143.61 × 796.31
  4. Step 4: Simplify right side
    2,094.83x = 2,503,272.36
  5. Step 5: Solve for x
    x = 2,503,272.36/2,094.83
  6. Step 6: Final answer
    x = 1,194.98

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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.