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Finding the Fourth Proportional to 3,229.02, 4,455.72 and 1,969.47

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Solution

The fourth proportional to 3,229.02, 4,455.72 and 1,969.47 is: 2,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.02 : 4,455.72 = 1,969.47 : x
  2. Step 2: Convert to fraction form
    3,229.02/4,455.72 = 1,969.47/x
  3. Step 3: Cross multiply
    3,229.02x = 4,455.72 × 1,969.47
  4. Step 4: Simplify right side
    3,229.02x = 8,775,406.87
  5. Step 5: Solve for x
    x = 8,775,406.87/3,229.02
  6. Step 6: Final answer
    x = 2,717.67

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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.