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Finding the Fourth Proportional to 3,104.20, 4,648.20 and 2,002.60

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Solution

The fourth proportional to 3,104.20, 4,648.20 and 2,002.60 is: 2,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.20 : 4,648.20 = 2,002.60 : x
  2. Step 2: Convert to fraction form
    3,104.20/4,648.20 = 2,002.60/x
  3. Step 3: Cross multiply
    3,104.20x = 4,648.20 × 2,002.60
  4. Step 4: Simplify right side
    3,104.20x = 9,308,485.32
  5. Step 5: Solve for x
    x = 9,308,485.32/3,104.20
  6. Step 6: Final answer
    x = 2,998.67

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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.