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Finding the Fourth Proportional to 2,727.27, 3,744.63 and 2,655.99

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Solution

The fourth proportional to 2,727.27, 3,744.63 and 2,655.99 is: 3,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.27 : 3,744.63 = 2,655.99 : x
  2. Step 2: Convert to fraction form
    2,727.27/3,744.63 = 2,655.99/x
  3. Step 3: Cross multiply
    2,727.27x = 3,744.63 × 2,655.99
  4. Step 4: Simplify right side
    2,727.27x = 9,945,699.83
  5. Step 5: Solve for x
    x = 9,945,699.83/2,727.27
  6. Step 6: Final answer
    x = 3,646.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.