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Finding the Fourth Proportional to 2,163.42, 3,242.10 and 1,635.89

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Solution

The fourth proportional to 2,163.42, 3,242.10 and 1,635.89 is: 2,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.42 : 3,242.10 = 1,635.89 : x
  2. Step 2: Convert to fraction form
    2,163.42/3,242.10 = 1,635.89/x
  3. Step 3: Cross multiply
    2,163.42x = 3,242.10 × 1,635.89
  4. Step 4: Simplify right side
    2,163.42x = 5,303,718.97
  5. Step 5: Solve for x
    x = 5,303,718.97/2,163.42
  6. Step 6: Final answer
    x = 2,451.54

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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.