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Finding the Fourth Proportional to 2,331.20, 3,493.20 and 2,021.60

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Solution

The fourth proportional to 2,331.20, 3,493.20 and 2,021.60 is: 3,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.20 : 3,493.20 = 2,021.60 : x
  2. Step 2: Convert to fraction form
    2,331.20/3,493.20 = 2,021.60/x
  3. Step 3: Cross multiply
    2,331.20x = 3,493.20 × 2,021.60
  4. Step 4: Simplify right side
    2,331.20x = 7,061,853.12
  5. Step 5: Solve for x
    x = 7,061,853.12/2,331.20
  6. Step 6: Final answer
    x = 3,029.28

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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.