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Finding the Fourth Proportional to 2,835.54, 4,249.60 and 1,449.23

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Solution

The fourth proportional to 2,835.54, 4,249.60 and 1,449.23 is: 2,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.54 : 4,249.60 = 1,449.23 : x
  2. Step 2: Convert to fraction form
    2,835.54/4,249.60 = 1,449.23/x
  3. Step 3: Cross multiply
    2,835.54x = 4,249.60 × 1,449.23
  4. Step 4: Simplify right side
    2,835.54x = 6,158,622.94
  5. Step 5: Solve for x
    x = 6,158,622.94/2,835.54
  6. Step 6: Final answer
    x = 2,171.94

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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.