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Finding the Fourth Proportional to 1,467.44, 2,201.20 and 1,342.16

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Solution

The fourth proportional to 1,467.44, 2,201.20 and 1,342.16 is: 2,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.44 : 2,201.20 = 1,342.16 : x
  2. Step 2: Convert to fraction form
    1,467.44/2,201.20 = 1,342.16/x
  3. Step 3: Cross multiply
    1,467.44x = 2,201.20 × 1,342.16
  4. Step 4: Simplify right side
    1,467.44x = 2,954,362.59
  5. Step 5: Solve for x
    x = 2,954,362.59/1,467.44
  6. Step 6: Final answer
    x = 2,013.28

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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.