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Finding the Fourth Proportional to 2,722.49, 3,760.09 and 1,836.75

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Solution

The fourth proportional to 2,722.49, 3,760.09 and 1,836.75 is: 2,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.49 : 3,760.09 = 1,836.75 : x
  2. Step 2: Convert to fraction form
    2,722.49/3,760.09 = 1,836.75/x
  3. Step 3: Cross multiply
    2,722.49x = 3,760.09 × 1,836.75
  4. Step 4: Simplify right side
    2,722.49x = 6,906,345.31
  5. Step 5: Solve for x
    x = 6,906,345.31/2,722.49
  6. Step 6: Final answer
    x = 2,536.78

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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.