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Finding the Fourth Proportional to 2,144.63, 3,218.93 and 1,324.51

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Solution

The fourth proportional to 2,144.63, 3,218.93 and 1,324.51 is: 1,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.63 : 3,218.93 = 1,324.51 : x
  2. Step 2: Convert to fraction form
    2,144.63/3,218.93 = 1,324.51/x
  3. Step 3: Cross multiply
    2,144.63x = 3,218.93 × 1,324.51
  4. Step 4: Simplify right side
    2,144.63x = 4,263,504.97
  5. Step 5: Solve for x
    x = 4,263,504.97/2,144.63
  6. Step 6: Final answer
    x = 1,987.99

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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.