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Finding the Fourth Proportional to 2,727.64, 4,090.51 and 779.32

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Solution

The fourth proportional to 2,727.64, 4,090.51 and 779.32 is: 1,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.64 : 4,090.51 = 779.32 : x
  2. Step 2: Convert to fraction form
    2,727.64/4,090.51 = 779.32/x
  3. Step 3: Cross multiply
    2,727.64x = 4,090.51 × 779.32
  4. Step 4: Simplify right side
    2,727.64x = 3,187,816.25
  5. Step 5: Solve for x
    x = 3,187,816.25/2,727.64
  6. Step 6: Final answer
    x = 1,168.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.