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Finding the Fourth Proportional to 2,157.18, 3,228.21 and 1,608

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Solution

The fourth proportional to 2,157.18, 3,228.21 and 1,608 is: 2,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.18 : 3,228.21 = 1,608 : x
  2. Step 2: Convert to fraction form
    2,157.18/3,228.21 = 1,608/x
  3. Step 3: Cross multiply
    2,157.18x = 3,228.21 × 1,608
  4. Step 4: Simplify right side
    2,157.18x = 5,190,961.68
  5. Step 5: Solve for x
    x = 5,190,961.68/2,157.18
  6. Step 6: Final answer
    x = 2,406.36

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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.