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Finding the Fourth Proportional to 2,119.37, 3,179.70 and 950.36

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Solution

The fourth proportional to 2,119.37, 3,179.70 and 950.36 is: 1,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.37 : 3,179.70 = 950.36 : x
  2. Step 2: Convert to fraction form
    2,119.37/3,179.70 = 950.36/x
  3. Step 3: Cross multiply
    2,119.37x = 3,179.70 × 950.36
  4. Step 4: Simplify right side
    2,119.37x = 3,021,843.79
  5. Step 5: Solve for x
    x = 3,021,843.79/2,119.37
  6. Step 6: Final answer
    x = 1,425.83

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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.