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Finding the Fourth Proportional to 4,270.64, 6,399.97 and 1,635.30

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Solution

The fourth proportional to 4,270.64, 6,399.97 and 1,635.30 is: 2,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.64 : 6,399.97 = 1,635.30 : x
  2. Step 2: Convert to fraction form
    4,270.64/6,399.97 = 1,635.30/x
  3. Step 3: Cross multiply
    4,270.64x = 6,399.97 × 1,635.30
  4. Step 4: Simplify right side
    4,270.64x = 10,465,866.85
  5. Step 5: Solve for x
    x = 10,465,866.85/4,270.64
  6. Step 6: Final answer
    x = 2,450.66

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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.