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Finding the Fourth Proportional to 3,296, 4,548.48 and 1,824

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Solution

The fourth proportional to 3,296, 4,548.48 and 1,824 is: 2,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 4,548.48 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,296/4,548.48 = 1,824/x
  3. Step 3: Cross multiply
    3,296x = 4,548.48 × 1,824
  4. Step 4: Simplify right side
    3,296x = 8,296,427.52
  5. Step 5: Solve for x
    x = 8,296,427.52/3,296
  6. Step 6: Final answer
    x = 2,517.12

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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.