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Finding the Fourth Proportional to 2,743.32, 4,115.39 and 795.27

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Solution

The fourth proportional to 2,743.32, 4,115.39 and 795.27 is: 1,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.32 : 4,115.39 = 795.27 : x
  2. Step 2: Convert to fraction form
    2,743.32/4,115.39 = 795.27/x
  3. Step 3: Cross multiply
    2,743.32x = 4,115.39 × 795.27
  4. Step 4: Simplify right side
    2,743.32x = 3,272,862.14
  5. Step 5: Solve for x
    x = 3,272,862.14/2,743.32
  6. Step 6: Final answer
    x = 1,193.03

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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.