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Finding the Fourth Proportional to 2,936.74, 4,052.82 and 1,678

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Solution

The fourth proportional to 2,936.74, 4,052.82 and 1,678 is: 2,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.74 : 4,052.82 = 1,678 : x
  2. Step 2: Convert to fraction form
    2,936.74/4,052.82 = 1,678/x
  3. Step 3: Cross multiply
    2,936.74x = 4,052.82 × 1,678
  4. Step 4: Simplify right side
    2,936.74x = 6,800,631.96
  5. Step 5: Solve for x
    x = 6,800,631.96/2,936.74
  6. Step 6: Final answer
    x = 2,315.71

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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.