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Finding the Fourth Proportional to 4,144.65, 6,218.49 and 1,924.56

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Solution

The fourth proportional to 4,144.65, 6,218.49 and 1,924.56 is: 2,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.65 : 6,218.49 = 1,924.56 : x
  2. Step 2: Convert to fraction form
    4,144.65/6,218.49 = 1,924.56/x
  3. Step 3: Cross multiply
    4,144.65x = 6,218.49 × 1,924.56
  4. Step 4: Simplify right side
    4,144.65x = 11,967,857.11
  5. Step 5: Solve for x
    x = 11,967,857.11/4,144.65
  6. Step 6: Final answer
    x = 2,887.54

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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.