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Finding the Fourth Proportional to 3,094.93, 4,271.16 and 1,974.97

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Solution

The fourth proportional to 3,094.93, 4,271.16 and 1,974.97 is: 2,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.93 : 4,271.16 = 1,974.97 : x
  2. Step 2: Convert to fraction form
    3,094.93/4,271.16 = 1,974.97/x
  3. Step 3: Cross multiply
    3,094.93x = 4,271.16 × 1,974.97
  4. Step 4: Simplify right side
    3,094.93x = 8,435,412.87
  5. Step 5: Solve for x
    x = 8,435,412.87/3,094.93
  6. Step 6: Final answer
    x = 2,725.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.