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Finding the Fourth Proportional to 2,406.81, 3,324.14 and 1,619.49

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Solution

The fourth proportional to 2,406.81, 3,324.14 and 1,619.49 is: 2,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.81 : 3,324.14 = 1,619.49 : x
  2. Step 2: Convert to fraction form
    2,406.81/3,324.14 = 1,619.49/x
  3. Step 3: Cross multiply
    2,406.81x = 3,324.14 × 1,619.49
  4. Step 4: Simplify right side
    2,406.81x = 5,383,411.49
  5. Step 5: Solve for x
    x = 5,383,411.49/2,406.81
  6. Step 6: Final answer
    x = 2,236.74

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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.