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Finding the Fourth Proportional to 4,449.24, 6,674.24 and 1,162.33

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Solution

The fourth proportional to 4,449.24, 6,674.24 and 1,162.33 is: 1,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.24 : 6,674.24 = 1,162.33 : x
  2. Step 2: Convert to fraction form
    4,449.24/6,674.24 = 1,162.33/x
  3. Step 3: Cross multiply
    4,449.24x = 6,674.24 × 1,162.33
  4. Step 4: Simplify right side
    4,449.24x = 7,757,655.60
  5. Step 5: Solve for x
    x = 7,757,655.60/4,449.24
  6. Step 6: Final answer
    x = 1,743.59

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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.