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Finding the Fourth Proportional to 4,450.41, 6,675.62 and 1,163.16

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Solution

The fourth proportional to 4,450.41, 6,675.62 and 1,163.16 is: 1,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.41 : 6,675.62 = 1,163.16 : x
  2. Step 2: Convert to fraction form
    4,450.41/6,675.62 = 1,163.16/x
  3. Step 3: Cross multiply
    4,450.41x = 6,675.62 × 1,163.16
  4. Step 4: Simplify right side
    4,450.41x = 7,764,808.34
  5. Step 5: Solve for x
    x = 7,764,808.34/4,450.41
  6. Step 6: Final answer
    x = 1,744.74

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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.