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Finding the Fourth Proportional to 2,074.75, 3,113.48 and 979.22

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Solution

The fourth proportional to 2,074.75, 3,113.48 and 979.22 is: 1,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.75 : 3,113.48 = 979.22 : x
  2. Step 2: Convert to fraction form
    2,074.75/3,113.48 = 979.22/x
  3. Step 3: Cross multiply
    2,074.75x = 3,113.48 × 979.22
  4. Step 4: Simplify right side
    2,074.75x = 3,048,792.12
  5. Step 5: Solve for x
    x = 3,048,792.12/2,074.75
  6. Step 6: Final answer
    x = 1,469.48

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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.