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Finding the Fourth Proportional to 2,743.23, 4,115.06 and 795.59

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Solution

The fourth proportional to 2,743.23, 4,115.06 and 795.59 is: 1,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.23 : 4,115.06 = 795.59 : x
  2. Step 2: Convert to fraction form
    2,743.23/4,115.06 = 795.59/x
  3. Step 3: Cross multiply
    2,743.23x = 4,115.06 × 795.59
  4. Step 4: Simplify right side
    2,743.23x = 3,273,876.03
  5. Step 5: Solve for x
    x = 3,273,876.03/2,743.23
  6. Step 6: Final answer
    x = 1,193.44

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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.