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Finding the Fourth Proportional to 2,163.65, 3,238.43 and 1,423.89

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Solution

The fourth proportional to 2,163.65, 3,238.43 and 1,423.89 is: 2,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.65 : 3,238.43 = 1,423.89 : x
  2. Step 2: Convert to fraction form
    2,163.65/3,238.43 = 1,423.89/x
  3. Step 3: Cross multiply
    2,163.65x = 3,238.43 × 1,423.89
  4. Step 4: Simplify right side
    2,163.65x = 4,611,160.97
  5. Step 5: Solve for x
    x = 4,611,160.97/2,163.65
  6. Step 6: Final answer
    x = 2,131.20

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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.