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Finding the Fourth Proportional to 2,727.43, 4,090.69 and 779.16

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Solution

The fourth proportional to 2,727.43, 4,090.69 and 779.16 is: 1,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.43 : 4,090.69 = 779.16 : x
  2. Step 2: Convert to fraction form
    2,727.43/4,090.69 = 779.16/x
  3. Step 3: Cross multiply
    2,727.43x = 4,090.69 × 779.16
  4. Step 4: Simplify right side
    2,727.43x = 3,187,302.02
  5. Step 5: Solve for x
    x = 3,187,302.02/2,727.43
  6. Step 6: Final answer
    x = 1,168.61

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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.