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Finding the Fourth Proportional to 2,324.81, 3,205.37 and 1,661.42

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Solution

The fourth proportional to 2,324.81, 3,205.37 and 1,661.42 is: 2,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.81 : 3,205.37 = 1,661.42 : x
  2. Step 2: Convert to fraction form
    2,324.81/3,205.37 = 1,661.42/x
  3. Step 3: Cross multiply
    2,324.81x = 3,205.37 × 1,661.42
  4. Step 4: Simplify right side
    2,324.81x = 5,325,457.52
  5. Step 5: Solve for x
    x = 5,325,457.52/2,324.81
  6. Step 6: Final answer
    x = 2,290.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.