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Finding the Fourth Proportional to 1,467.93, 2,201.56 and 427.69

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Solution

The fourth proportional to 1,467.93, 2,201.56 and 427.69 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.93 : 2,201.56 = 427.69 : x
  2. Step 2: Convert to fraction form
    1,467.93/2,201.56 = 427.69/x
  3. Step 3: Cross multiply
    1,467.93x = 2,201.56 × 427.69
  4. Step 4: Simplify right side
    1,467.93x = 941,578.62
  5. Step 5: Solve for x
    x = 941,578.62/1,467.93
  6. Step 6: Final answer
    x = 641.43

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