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Finding the Fourth Proportional to 2,736.75, 3,777.68 and 1,632.75

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Solution

The fourth proportional to 2,736.75, 3,777.68 and 1,632.75 is: 2,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.75 : 3,777.68 = 1,632.75 : x
  2. Step 2: Convert to fraction form
    2,736.75/3,777.68 = 1,632.75/x
  3. Step 3: Cross multiply
    2,736.75x = 3,777.68 × 1,632.75
  4. Step 4: Simplify right side
    2,736.75x = 6,167,998.86
  5. Step 5: Solve for x
    x = 6,167,998.86/2,736.75
  6. Step 6: Final answer
    x = 2,253.77

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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.