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Finding the Fourth Proportional to 2,163.31, 3,244.93 and 776.39

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Solution

The fourth proportional to 2,163.31, 3,244.93 and 776.39 is: 1,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.31 : 3,244.93 = 776.39 : x
  2. Step 2: Convert to fraction form
    2,163.31/3,244.93 = 776.39/x
  3. Step 3: Cross multiply
    2,163.31x = 3,244.93 × 776.39
  4. Step 4: Simplify right side
    2,163.31x = 2,519,313.04
  5. Step 5: Solve for x
    x = 2,519,313.04/2,163.31
  6. Step 6: Final answer
    x = 1,164.57

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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.