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Finding the Fourth Proportional to 2,674.33, 3,688.17 and 1,791.33

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Solution

The fourth proportional to 2,674.33, 3,688.17 and 1,791.33 is: 2,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.33 : 3,688.17 = 1,791.33 : x
  2. Step 2: Convert to fraction form
    2,674.33/3,688.17 = 1,791.33/x
  3. Step 3: Cross multiply
    2,674.33x = 3,688.17 × 1,791.33
  4. Step 4: Simplify right side
    2,674.33x = 6,606,709.02
  5. Step 5: Solve for x
    x = 6,606,709.02/2,674.33
  6. Step 6: Final answer
    x = 2,470.42

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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.