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Finding the Fourth Proportional to 2,450.64, 3,676.57 and 719.27

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Solution

The fourth proportional to 2,450.64, 3,676.57 and 719.27 is: 1,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.64 : 3,676.57 = 719.27 : x
  2. Step 2: Convert to fraction form
    2,450.64/3,676.57 = 719.27/x
  3. Step 3: Cross multiply
    2,450.64x = 3,676.57 × 719.27
  4. Step 4: Simplify right side
    2,450.64x = 2,644,429.92
  5. Step 5: Solve for x
    x = 2,644,429.92/2,450.64
  6. Step 6: Final answer
    x = 1,079.08

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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.