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Finding the Fourth Proportional to 1,608.54, 2,399.24 and 1,467.06

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Solution

The fourth proportional to 1,608.54, 2,399.24 and 1,467.06 is: 2,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.54 : 2,399.24 = 1,467.06 : x
  2. Step 2: Convert to fraction form
    1,608.54/2,399.24 = 1,467.06/x
  3. Step 3: Cross multiply
    1,608.54x = 2,399.24 × 1,467.06
  4. Step 4: Simplify right side
    1,608.54x = 3,519,829.03
  5. Step 5: Solve for x
    x = 3,519,829.03/1,608.54
  6. Step 6: Final answer
    x = 2,188.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.