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Finding the Fourth Proportional to 2,418.88, 3,628.32 and 2,144.29

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Solution

The fourth proportional to 2,418.88, 3,628.32 and 2,144.29 is: 3,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.88 : 3,628.32 = 2,144.29 : x
  2. Step 2: Convert to fraction form
    2,418.88/3,628.32 = 2,144.29/x
  3. Step 3: Cross multiply
    2,418.88x = 3,628.32 × 2,144.29
  4. Step 4: Simplify right side
    2,418.88x = 7,780,170.29
  5. Step 5: Solve for x
    x = 7,780,170.29/2,418.88
  6. Step 6: Final answer
    x = 3,216.44

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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.