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Finding the Fourth Proportional to 2,062.98, 3,093.69 and 829.97

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Solution

The fourth proportional to 2,062.98, 3,093.69 and 829.97 is: 1,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.98 : 3,093.69 = 829.97 : x
  2. Step 2: Convert to fraction form
    2,062.98/3,093.69 = 829.97/x
  3. Step 3: Cross multiply
    2,062.98x = 3,093.69 × 829.97
  4. Step 4: Simplify right side
    2,062.98x = 2,567,669.89
  5. Step 5: Solve for x
    x = 2,567,669.89/2,062.98
  6. Step 6: Final answer
    x = 1,244.64

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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.