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Finding the Fourth Proportional to 1,544.44, 2,131.26 and 845.84

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Solution

The fourth proportional to 1,544.44, 2,131.26 and 845.84 is: 1,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.44 : 2,131.26 = 845.84 : x
  2. Step 2: Convert to fraction form
    1,544.44/2,131.26 = 845.84/x
  3. Step 3: Cross multiply
    1,544.44x = 2,131.26 × 845.84
  4. Step 4: Simplify right side
    1,544.44x = 1,802,704.96
  5. Step 5: Solve for x
    x = 1,802,704.96/1,544.44
  6. Step 6: Final answer
    x = 1,167.22

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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.