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Finding the Fourth Proportional to 4,450.02, 6,675.02 and 1,163.10

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Solution

The fourth proportional to 4,450.02, 6,675.02 and 1,163.10 is: 1,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.02 : 6,675.02 = 1,163.10 : x
  2. Step 2: Convert to fraction form
    4,450.02/6,675.02 = 1,163.10/x
  3. Step 3: Cross multiply
    4,450.02x = 6,675.02 × 1,163.10
  4. Step 4: Simplify right side
    4,450.02x = 7,763,715.76
  5. Step 5: Solve for x
    x = 7,763,715.76/4,450.02
  6. Step 6: Final answer
    x = 1,744.65

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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.