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Finding the Fourth Proportional to 2,850.20, 4,274.90 and 902.60

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Solution

The fourth proportional to 2,850.20, 4,274.90 and 902.60 is: 1,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.20 : 4,274.90 = 902.60 : x
  2. Step 2: Convert to fraction form
    2,850.20/4,274.90 = 902.60/x
  3. Step 3: Cross multiply
    2,850.20x = 4,274.90 × 902.60
  4. Step 4: Simplify right side
    2,850.20x = 3,858,524.74
  5. Step 5: Solve for x
    x = 3,858,524.74/2,850.20
  6. Step 6: Final answer
    x = 1,353.77

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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.