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Finding the Fourth Proportional to 2,844.81, 3,924.18 and 1,960.56

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Solution

The fourth proportional to 2,844.81, 3,924.18 and 1,960.56 is: 2,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.81 : 3,924.18 = 1,960.56 : x
  2. Step 2: Convert to fraction form
    2,844.81/3,924.18 = 1,960.56/x
  3. Step 3: Cross multiply
    2,844.81x = 3,924.18 × 1,960.56
  4. Step 4: Simplify right side
    2,844.81x = 7,693,590.34
  5. Step 5: Solve for x
    x = 7,693,590.34/2,844.81
  6. Step 6: Final answer
    x = 2,704.43

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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.