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Finding the Fourth Proportional to 3,441.51, 5,163.07 and 1,220.23

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Solution

The fourth proportional to 3,441.51, 5,163.07 and 1,220.23 is: 1,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.51 : 5,163.07 = 1,220.23 : x
  2. Step 2: Convert to fraction form
    3,441.51/5,163.07 = 1,220.23/x
  3. Step 3: Cross multiply
    3,441.51x = 5,163.07 × 1,220.23
  4. Step 4: Simplify right side
    3,441.51x = 6,300,120.64
  5. Step 5: Solve for x
    x = 6,300,120.64/3,441.51
  6. Step 6: Final answer
    x = 1,830.62

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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.