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Finding the Fourth Proportional to 2,450.10, 3,674.40 and 889.91

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Solution

The fourth proportional to 2,450.10, 3,674.40 and 889.91 is: 1,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.10 : 3,674.40 = 889.91 : x
  2. Step 2: Convert to fraction form
    2,450.10/3,674.40 = 889.91/x
  3. Step 3: Cross multiply
    2,450.10x = 3,674.40 × 889.91
  4. Step 4: Simplify right side
    2,450.10x = 3,269,885.30
  5. Step 5: Solve for x
    x = 3,269,885.30/2,450.10
  6. Step 6: Final answer
    x = 1,334.59

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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.