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Finding the Fourth Proportional to 2,158.40, 3,229.32 and 2,002.88

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Solution

The fourth proportional to 2,158.40, 3,229.32 and 2,002.88 is: 2,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.40 : 3,229.32 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    2,158.40/3,229.32 = 2,002.88/x
  3. Step 3: Cross multiply
    2,158.40x = 3,229.32 × 2,002.88
  4. Step 4: Simplify right side
    2,158.40x = 6,467,940.44
  5. Step 5: Solve for x
    x = 6,467,940.44/2,158.40
  6. Step 6: Final answer
    x = 2,996.64

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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.