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Finding the Fourth Proportional to 1,834.28, 2,755.74 and 1,494.44

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Solution

The fourth proportional to 1,834.28, 2,755.74 and 1,494.44 is: 2,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.28 : 2,755.74 = 1,494.44 : x
  2. Step 2: Convert to fraction form
    1,834.28/2,755.74 = 1,494.44/x
  3. Step 3: Cross multiply
    1,834.28x = 2,755.74 × 1,494.44
  4. Step 4: Simplify right side
    1,834.28x = 4,118,288.09
  5. Step 5: Solve for x
    x = 4,118,288.09/1,834.28
  6. Step 6: Final answer
    x = 2,245.18

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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.