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Finding the Fourth Proportional to 2,761.70, 4,144.38 and 1,838.30

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Solution

The fourth proportional to 2,761.70, 4,144.38 and 1,838.30 is: 2,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.70 : 4,144.38 = 1,838.30 : x
  2. Step 2: Convert to fraction form
    2,761.70/4,144.38 = 1,838.30/x
  3. Step 3: Cross multiply
    2,761.70x = 4,144.38 × 1,838.30
  4. Step 4: Simplify right side
    2,761.70x = 7,618,613.75
  5. Step 5: Solve for x
    x = 7,618,613.75/2,761.70
  6. Step 6: Final answer
    x = 2,758.67

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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.