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Finding the Fourth Proportional to 2,730.33, 3,768.66 and 2,361.27

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Solution

The fourth proportional to 2,730.33, 3,768.66 and 2,361.27 is: 3,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.33 : 3,768.66 = 2,361.27 : x
  2. Step 2: Convert to fraction form
    2,730.33/3,768.66 = 2,361.27/x
  3. Step 3: Cross multiply
    2,730.33x = 3,768.66 × 2,361.27
  4. Step 4: Simplify right side
    2,730.33x = 8,898,833.22
  5. Step 5: Solve for x
    x = 8,898,833.22/2,730.33
  6. Step 6: Final answer
    x = 3,259.25

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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.