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Finding the Fourth Proportional to 4,450.87, 6,676.31 and 1,678.16

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Solution

The fourth proportional to 4,450.87, 6,676.31 and 1,678.16 is: 2,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.87 : 6,676.31 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    4,450.87/6,676.31 = 1,678.16/x
  3. Step 3: Cross multiply
    4,450.87x = 6,676.31 × 1,678.16
  4. Step 4: Simplify right side
    4,450.87x = 11,203,937.28
  5. Step 5: Solve for x
    x = 11,203,937.28/4,450.87
  6. Step 6: Final answer
    x = 2,517.25

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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.