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Finding the Fourth Proportional to 2,450.97, 3,676.46 and 719.60

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Solution

The fourth proportional to 2,450.97, 3,676.46 and 719.60 is: 1,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.97 : 3,676.46 = 719.60 : x
  2. Step 2: Convert to fraction form
    2,450.97/3,676.46 = 719.60/x
  3. Step 3: Cross multiply
    2,450.97x = 3,676.46 × 719.60
  4. Step 4: Simplify right side
    2,450.97x = 2,645,558.64
  5. Step 5: Solve for x
    x = 2,645,558.64/2,450.97
  6. Step 6: Final answer
    x = 1,079.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.