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Finding the Fourth Proportional to 2,466.44, 3,399.28 and 1,867.49

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Solution

The fourth proportional to 2,466.44, 3,399.28 and 1,867.49 is: 2,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.44 : 3,399.28 = 1,867.49 : x
  2. Step 2: Convert to fraction form
    2,466.44/3,399.28 = 1,867.49/x
  3. Step 3: Cross multiply
    2,466.44x = 3,399.28 × 1,867.49
  4. Step 4: Simplify right side
    2,466.44x = 6,348,136.86
  5. Step 5: Solve for x
    x = 6,348,136.86/2,466.44
  6. Step 6: Final answer
    x = 2,573.81

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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.