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Finding the Fourth Proportional to 2,163.06, 3,242.43 and 1,065.78

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Solution

The fourth proportional to 2,163.06, 3,242.43 and 1,065.78 is: 1,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.06 : 3,242.43 = 1,065.78 : x
  2. Step 2: Convert to fraction form
    2,163.06/3,242.43 = 1,065.78/x
  3. Step 3: Cross multiply
    2,163.06x = 3,242.43 × 1,065.78
  4. Step 4: Simplify right side
    2,163.06x = 3,455,717.05
  5. Step 5: Solve for x
    x = 3,455,717.05/2,163.06
  6. Step 6: Final answer
    x = 1,597.61

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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.