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Finding the Fourth Proportional to 2,181, 3,009.84 and 1,249.56

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Solution

The fourth proportional to 2,181, 3,009.84 and 1,249.56 is: 1,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181 : 3,009.84 = 1,249.56 : x
  2. Step 2: Convert to fraction form
    2,181/3,009.84 = 1,249.56/x
  3. Step 3: Cross multiply
    2,181x = 3,009.84 × 1,249.56
  4. Step 4: Simplify right side
    2,181x = 3,760,975.67
  5. Step 5: Solve for x
    x = 3,760,975.67/2,181
  6. Step 6: Final answer
    x = 1,724.43

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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.