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Finding the Fourth Proportional to 3,163.02, 4,744.48 and 1,083

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Solution

The fourth proportional to 3,163.02, 4,744.48 and 1,083 is: 1,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.02 : 4,744.48 = 1,083 : x
  2. Step 2: Convert to fraction form
    3,163.02/4,744.48 = 1,083/x
  3. Step 3: Cross multiply
    3,163.02x = 4,744.48 × 1,083
  4. Step 4: Simplify right side
    3,163.02x = 5,138,271.84
  5. Step 5: Solve for x
    x = 5,138,271.84/3,163.02
  6. Step 6: Final answer
    x = 1,624.48

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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.