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Finding the Fourth Proportional to 2,324.49, 3,208.42 and 1,439.81

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Solution

The fourth proportional to 2,324.49, 3,208.42 and 1,439.81 is: 1,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.49 : 3,208.42 = 1,439.81 : x
  2. Step 2: Convert to fraction form
    2,324.49/3,208.42 = 1,439.81/x
  3. Step 3: Cross multiply
    2,324.49x = 3,208.42 × 1,439.81
  4. Step 4: Simplify right side
    2,324.49x = 4,619,515.20
  5. Step 5: Solve for x
    x = 4,619,515.20/2,324.49
  6. Step 6: Final answer
    x = 1,987.32

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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.