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Finding the Fourth Proportional to 2,140.85, 3,211.61 and 679.74

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Solution

The fourth proportional to 2,140.85, 3,211.61 and 679.74 is: 1,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.85 : 3,211.61 = 679.74 : x
  2. Step 2: Convert to fraction form
    2,140.85/3,211.61 = 679.74/x
  3. Step 3: Cross multiply
    2,140.85x = 3,211.61 × 679.74
  4. Step 4: Simplify right side
    2,140.85x = 2,183,056.38
  5. Step 5: Solve for x
    x = 2,183,056.38/2,140.85
  6. Step 6: Final answer
    x = 1,019.72

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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.