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Finding the Fourth Proportional to 2,744.27, 4,115.37 and 894.95

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Solution

The fourth proportional to 2,744.27, 4,115.37 and 894.95 is: 1,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.27 : 4,115.37 = 894.95 : x
  2. Step 2: Convert to fraction form
    2,744.27/4,115.37 = 894.95/x
  3. Step 3: Cross multiply
    2,744.27x = 4,115.37 × 894.95
  4. Step 4: Simplify right side
    2,744.27x = 3,683,050.38
  5. Step 5: Solve for x
    x = 3,683,050.38/2,744.27
  6. Step 6: Final answer
    x = 1,342.09

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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.