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Finding the Fourth Proportional to 3,203.06, 4,804.18 and 863.26

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Solution

The fourth proportional to 3,203.06, 4,804.18 and 863.26 is: 1,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.06 : 4,804.18 = 863.26 : x
  2. Step 2: Convert to fraction form
    3,203.06/4,804.18 = 863.26/x
  3. Step 3: Cross multiply
    3,203.06x = 4,804.18 × 863.26
  4. Step 4: Simplify right side
    3,203.06x = 4,147,256.43
  5. Step 5: Solve for x
    x = 4,147,256.43/3,203.06
  6. Step 6: Final answer
    x = 1,294.78

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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.