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Finding the Fourth Proportional to 2,180.94, 3,009.78 and 1,249.62

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Solution

The fourth proportional to 2,180.94, 3,009.78 and 1,249.62 is: 1,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.94 : 3,009.78 = 1,249.62 : x
  2. Step 2: Convert to fraction form
    2,180.94/3,009.78 = 1,249.62/x
  3. Step 3: Cross multiply
    2,180.94x = 3,009.78 × 1,249.62
  4. Step 4: Simplify right side
    2,180.94x = 3,761,081.28
  5. Step 5: Solve for x
    x = 3,761,081.28/2,180.94
  6. Step 6: Final answer
    x = 1,724.52

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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.