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Finding the Fourth Proportional to 2,140.70, 3,211.51 and 679.97

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Solution

The fourth proportional to 2,140.70, 3,211.51 and 679.97 is: 1,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.70 : 3,211.51 = 679.97 : x
  2. Step 2: Convert to fraction form
    2,140.70/3,211.51 = 679.97/x
  3. Step 3: Cross multiply
    2,140.70x = 3,211.51 × 679.97
  4. Step 4: Simplify right side
    2,140.70x = 2,183,730.45
  5. Step 5: Solve for x
    x = 2,183,730.45/2,140.70
  6. Step 6: Final answer
    x = 1,020.10

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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.