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Finding the Fourth Proportional to 2,843, 3,923.34 and 1,795.94

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Solution

The fourth proportional to 2,843, 3,923.34 and 1,795.94 is: 2,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843 : 3,923.34 = 1,795.94 : x
  2. Step 2: Convert to fraction form
    2,843/3,923.34 = 1,795.94/x
  3. Step 3: Cross multiply
    2,843x = 3,923.34 × 1,795.94
  4. Step 4: Simplify right side
    2,843x = 7,046,083.24
  5. Step 5: Solve for x
    x = 7,046,083.24/2,843
  6. Step 6: Final answer
    x = 2,478.40

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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.