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Finding the Fourth Proportional to 3,171.12, 4,756.55 and 979.79

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Solution

The fourth proportional to 3,171.12, 4,756.55 and 979.79 is: 1,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.12 : 4,756.55 = 979.79 : x
  2. Step 2: Convert to fraction form
    3,171.12/4,756.55 = 979.79/x
  3. Step 3: Cross multiply
    3,171.12x = 4,756.55 × 979.79
  4. Step 4: Simplify right side
    3,171.12x = 4,660,391.44
  5. Step 5: Solve for x
    x = 4,660,391.44/3,171.12
  6. Step 6: Final answer
    x = 1,469.64

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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.