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Finding the Fourth Proportional to 2,763.67, 3,813.82 and 1,521.67

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Solution

The fourth proportional to 2,763.67, 3,813.82 and 1,521.67 is: 2,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.67 : 3,813.82 = 1,521.67 : x
  2. Step 2: Convert to fraction form
    2,763.67/3,813.82 = 1,521.67/x
  3. Step 3: Cross multiply
    2,763.67x = 3,813.82 × 1,521.67
  4. Step 4: Simplify right side
    2,763.67x = 5,803,375.48
  5. Step 5: Solve for x
    x = 5,803,375.48/2,763.67
  6. Step 6: Final answer
    x = 2,099.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.