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Finding the Fourth Proportional to 3,365.80, 4,641.60 and 2,229.67

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Solution

The fourth proportional to 3,365.80, 4,641.60 and 2,229.67 is: 3,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.80 : 4,641.60 = 2,229.67 : x
  2. Step 2: Convert to fraction form
    3,365.80/4,641.60 = 2,229.67/x
  3. Step 3: Cross multiply
    3,365.80x = 4,641.60 × 2,229.67
  4. Step 4: Simplify right side
    3,365.80x = 10,349,236.27
  5. Step 5: Solve for x
    x = 10,349,236.27/3,365.80
  6. Step 6: Final answer
    x = 3,074.82

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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.