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Finding the Fourth Proportional to 2,743.39, 4,114.36 and 768.91

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Solution

The fourth proportional to 2,743.39, 4,114.36 and 768.91 is: 1,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.39 : 4,114.36 = 768.91 : x
  2. Step 2: Convert to fraction form
    2,743.39/4,114.36 = 768.91/x
  3. Step 3: Cross multiply
    2,743.39x = 4,114.36 × 768.91
  4. Step 4: Simplify right side
    2,743.39x = 3,163,574.33
  5. Step 5: Solve for x
    x = 3,163,574.33/2,743.39
  6. Step 6: Final answer
    x = 1,153.16

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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.