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Finding the Fourth Proportional to 2,450.95, 3,676.43 and 890.67

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Solution

The fourth proportional to 2,450.95, 3,676.43 and 890.67 is: 1,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.95 : 3,676.43 = 890.67 : x
  2. Step 2: Convert to fraction form
    2,450.95/3,676.43 = 890.67/x
  3. Step 3: Cross multiply
    2,450.95x = 3,676.43 × 890.67
  4. Step 4: Simplify right side
    2,450.95x = 3,274,467.53
  5. Step 5: Solve for x
    x = 3,274,467.53/2,450.95
  6. Step 6: Final answer
    x = 1,336.00

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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.