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Finding the Fourth Proportional to 2,743.98, 4,116.58 and 796.04

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Solution

The fourth proportional to 2,743.98, 4,116.58 and 796.04 is: 1,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.98 : 4,116.58 = 796.04 : x
  2. Step 2: Convert to fraction form
    2,743.98/4,116.58 = 796.04/x
  3. Step 3: Cross multiply
    2,743.98x = 4,116.58 × 796.04
  4. Step 4: Simplify right side
    2,743.98x = 3,276,962.34
  5. Step 5: Solve for x
    x = 3,276,962.34/2,743.98
  6. Step 6: Final answer
    x = 1,194.24

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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.