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Finding the Fourth Proportional to 2,449.98, 3,674.97 and 1,063.26

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Solution

The fourth proportional to 2,449.98, 3,674.97 and 1,063.26 is: 1,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.98 : 3,674.97 = 1,063.26 : x
  2. Step 2: Convert to fraction form
    2,449.98/3,674.97 = 1,063.26/x
  3. Step 3: Cross multiply
    2,449.98x = 3,674.97 × 1,063.26
  4. Step 4: Simplify right side
    2,449.98x = 3,907,448.60
  5. Step 5: Solve for x
    x = 3,907,448.60/2,449.98
  6. Step 6: Final answer
    x = 1,594.89

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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.