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Finding the Fourth Proportional to 2,906.93, 4,362.20 and 1,263.49

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Solution

The fourth proportional to 2,906.93, 4,362.20 and 1,263.49 is: 1,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.93 : 4,362.20 = 1,263.49 : x
  2. Step 2: Convert to fraction form
    2,906.93/4,362.20 = 1,263.49/x
  3. Step 3: Cross multiply
    2,906.93x = 4,362.20 × 1,263.49
  4. Step 4: Simplify right side
    2,906.93x = 5,511,596.08
  5. Step 5: Solve for x
    x = 5,511,596.08/2,906.93
  6. Step 6: Final answer
    x = 1,896.02

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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.