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Finding the Fourth Proportional to 2,678.91, 4,016.67 and 1,289.49

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Solution

The fourth proportional to 2,678.91, 4,016.67 and 1,289.49 is: 1,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.91 : 4,016.67 = 1,289.49 : x
  2. Step 2: Convert to fraction form
    2,678.91/4,016.67 = 1,289.49/x
  3. Step 3: Cross multiply
    2,678.91x = 4,016.67 × 1,289.49
  4. Step 4: Simplify right side
    2,678.91x = 5,179,455.80
  5. Step 5: Solve for x
    x = 5,179,455.80/2,678.91
  6. Step 6: Final answer
    x = 1,933.42

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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.