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Finding the Fourth Proportional to 2,140.94, 3,211.16 and 679.98

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Solution

The fourth proportional to 2,140.94, 3,211.16 and 679.98 is: 1,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.94 : 3,211.16 = 679.98 : x
  2. Step 2: Convert to fraction form
    2,140.94/3,211.16 = 679.98/x
  3. Step 3: Cross multiply
    2,140.94x = 3,211.16 × 679.98
  4. Step 4: Simplify right side
    2,140.94x = 2,183,524.58
  5. Step 5: Solve for x
    x = 2,183,524.58/2,140.94
  6. Step 6: Final answer
    x = 1,019.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.