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Finding the Fourth Proportional to 3,074.85, 4,243.49 and 1,748.67

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Solution

The fourth proportional to 3,074.85, 4,243.49 and 1,748.67 is: 2,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.85 : 4,243.49 = 1,748.67 : x
  2. Step 2: Convert to fraction form
    3,074.85/4,243.49 = 1,748.67/x
  3. Step 3: Cross multiply
    3,074.85x = 4,243.49 × 1,748.67
  4. Step 4: Simplify right side
    3,074.85x = 7,420,454.91
  5. Step 5: Solve for x
    x = 7,420,454.91/3,074.85
  6. Step 6: Final answer
    x = 2,413.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.