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Finding the Fourth Proportional to 3,296.46, 4,944.69 and 1,927.50

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Solution

The fourth proportional to 3,296.46, 4,944.69 and 1,927.50 is: 2,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.46 : 4,944.69 = 1,927.50 : x
  2. Step 2: Convert to fraction form
    3,296.46/4,944.69 = 1,927.50/x
  3. Step 3: Cross multiply
    3,296.46x = 4,944.69 × 1,927.50
  4. Step 4: Simplify right side
    3,296.46x = 9,530,889.98
  5. Step 5: Solve for x
    x = 9,530,889.98/3,296.46
  6. Step 6: Final answer
    x = 2,891.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.