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Finding the Fourth Proportional to 2,727.08, 4,090.76 and 779.57

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Solution

The fourth proportional to 2,727.08, 4,090.76 and 779.57 is: 1,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.08 : 4,090.76 = 779.57 : x
  2. Step 2: Convert to fraction form
    2,727.08/4,090.76 = 779.57/x
  3. Step 3: Cross multiply
    2,727.08x = 4,090.76 × 779.57
  4. Step 4: Simplify right side
    2,727.08x = 3,189,029.88
  5. Step 5: Solve for x
    x = 3,189,029.88/2,727.08
  6. Step 6: Final answer
    x = 1,169.39

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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.