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Finding the Fourth Proportional to 2,644.19, 3,648.93 and 1,449.26

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Solution

The fourth proportional to 2,644.19, 3,648.93 and 1,449.26 is: 1,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.19 : 3,648.93 = 1,449.26 : x
  2. Step 2: Convert to fraction form
    2,644.19/3,648.93 = 1,449.26/x
  3. Step 3: Cross multiply
    2,644.19x = 3,648.93 × 1,449.26
  4. Step 4: Simplify right side
    2,644.19x = 5,288,257.41
  5. Step 5: Solve for x
    x = 5,288,257.41/2,644.19
  6. Step 6: Final answer
    x = 1,999.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.