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Finding the Fourth Proportional to 2,861.82, 3,944.16 and 1,812.06

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Solution

The fourth proportional to 2,861.82, 3,944.16 and 1,812.06 is: 2,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.82 : 3,944.16 = 1,812.06 : x
  2. Step 2: Convert to fraction form
    2,861.82/3,944.16 = 1,812.06/x
  3. Step 3: Cross multiply
    2,861.82x = 3,944.16 × 1,812.06
  4. Step 4: Simplify right side
    2,861.82x = 7,147,054.57
  5. Step 5: Solve for x
    x = 7,147,054.57/2,861.82
  6. Step 6: Final answer
    x = 2,497.38

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Why These Related Problems?

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