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Finding the Fourth Proportional to 4,450.06, 6,677.67 and 1,678.67

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Solution

The fourth proportional to 4,450.06, 6,677.67 and 1,678.67 is: 2,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.06 : 6,677.67 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    4,450.06/6,677.67 = 1,678.67/x
  3. Step 3: Cross multiply
    4,450.06x = 6,677.67 × 1,678.67
  4. Step 4: Simplify right side
    4,450.06x = 11,209,625.64
  5. Step 5: Solve for x
    x = 11,209,625.64/4,450.06
  6. Step 6: Final answer
    x = 2,518.98

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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.