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Finding the Fourth Proportional to 3,269.60, 4,511.64 and 2,209.67

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Solution

The fourth proportional to 3,269.60, 4,511.64 and 2,209.67 is: 3,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.60 : 4,511.64 = 2,209.67 : x
  2. Step 2: Convert to fraction form
    3,269.60/4,511.64 = 2,209.67/x
  3. Step 3: Cross multiply
    3,269.60x = 4,511.64 × 2,209.67
  4. Step 4: Simplify right side
    3,269.60x = 9,969,258.86
  5. Step 5: Solve for x
    x = 9,969,258.86/3,269.60
  6. Step 6: Final answer
    x = 3,049.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.