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Finding the Fourth Proportional to 2,954.43, 4,430.67 and 979.59

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Solution

The fourth proportional to 2,954.43, 4,430.67 and 979.59 is: 1,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.43 : 4,430.67 = 979.59 : x
  2. Step 2: Convert to fraction form
    2,954.43/4,430.67 = 979.59/x
  3. Step 3: Cross multiply
    2,954.43x = 4,430.67 × 979.59
  4. Step 4: Simplify right side
    2,954.43x = 4,340,240.03
  5. Step 5: Solve for x
    x = 4,340,240.03/2,954.43
  6. Step 6: Final answer
    x = 1,469.06

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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.