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Finding the Fourth Proportional to 3,211.09, 4,816.60 and 902.59

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Solution

The fourth proportional to 3,211.09, 4,816.60 and 902.59 is: 1,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.09 : 4,816.60 = 902.59 : x
  2. Step 2: Convert to fraction form
    3,211.09/4,816.60 = 902.59/x
  3. Step 3: Cross multiply
    3,211.09x = 4,816.60 × 902.59
  4. Step 4: Simplify right side
    3,211.09x = 4,347,414.99
  5. Step 5: Solve for x
    x = 4,347,414.99/3,211.09
  6. Step 6: Final answer
    x = 1,353.88

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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.