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Finding the Fourth Proportional to 3,171.43, 4,756.74 and 979.99

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Solution

The fourth proportional to 3,171.43, 4,756.74 and 979.99 is: 1,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.43 : 4,756.74 = 979.99 : x
  2. Step 2: Convert to fraction form
    3,171.43/4,756.74 = 979.99/x
  3. Step 3: Cross multiply
    3,171.43x = 4,756.74 × 979.99
  4. Step 4: Simplify right side
    3,171.43x = 4,661,557.63
  5. Step 5: Solve for x
    x = 4,661,557.63/3,171.43
  6. Step 6: Final answer
    x = 1,469.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.