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Finding the Fourth Proportional to 3,296, 4,546.88 and 2,037.44

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Solution

The fourth proportional to 3,296, 4,546.88 and 2,037.44 is: 2,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 4,546.88 = 2,037.44 : x
  2. Step 2: Convert to fraction form
    3,296/4,546.88 = 2,037.44/x
  3. Step 3: Cross multiply
    3,296x = 4,546.88 × 2,037.44
  4. Step 4: Simplify right side
    3,296x = 9,263,995.19
  5. Step 5: Solve for x
    x = 9,263,995.19/3,296
  6. Step 6: Final answer
    x = 2,810.68

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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.