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Finding the Fourth Proportional to 2,727.96, 3,765.09 and 1,935.24

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Solution

The fourth proportional to 2,727.96, 3,765.09 and 1,935.24 is: 2,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.96 : 3,765.09 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    2,727.96/3,765.09 = 1,935.24/x
  3. Step 3: Cross multiply
    2,727.96x = 3,765.09 × 1,935.24
  4. Step 4: Simplify right side
    2,727.96x = 7,286,352.77
  5. Step 5: Solve for x
    x = 7,286,352.77/2,727.96
  6. Step 6: Final answer
    x = 2,670.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.