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Finding the Fourth Proportional to 3,202.75, 4,804.31 and 894.43

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Solution

The fourth proportional to 3,202.75, 4,804.31 and 894.43 is: 1,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.75 : 4,804.31 = 894.43 : x
  2. Step 2: Convert to fraction form
    3,202.75/4,804.31 = 894.43/x
  3. Step 3: Cross multiply
    3,202.75x = 4,804.31 × 894.43
  4. Step 4: Simplify right side
    3,202.75x = 4,297,118.99
  5. Step 5: Solve for x
    x = 4,297,118.99/3,202.75
  6. Step 6: Final answer
    x = 1,341.70

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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.