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Finding the Fourth Proportional to 2,790.81, 4,186.24 and 843.09

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Solution

The fourth proportional to 2,790.81, 4,186.24 and 843.09 is: 1,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.81 : 4,186.24 = 843.09 : x
  2. Step 2: Convert to fraction form
    2,790.81/4,186.24 = 843.09/x
  3. Step 3: Cross multiply
    2,790.81x = 4,186.24 × 843.09
  4. Step 4: Simplify right side
    2,790.81x = 3,529,377.08
  5. Step 5: Solve for x
    x = 3,529,377.08/2,790.81
  6. Step 6: Final answer
    x = 1,264.64

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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.