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Finding the Fourth Proportional to 2,351.69, 3,524.46 and 1,311.65

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Solution

The fourth proportional to 2,351.69, 3,524.46 and 1,311.65 is: 1,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.69 : 3,524.46 = 1,311.65 : x
  2. Step 2: Convert to fraction form
    2,351.69/3,524.46 = 1,311.65/x
  3. Step 3: Cross multiply
    2,351.69x = 3,524.46 × 1,311.65
  4. Step 4: Simplify right side
    2,351.69x = 4,622,857.96
  5. Step 5: Solve for x
    x = 4,622,857.96/2,351.69
  6. Step 6: Final answer
    x = 1,965.76

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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.