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Finding the Fourth Proportional to 3,197.94, 4,797.06 and 1,964.58

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Solution

The fourth proportional to 3,197.94, 4,797.06 and 1,964.58 is: 2,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.94 : 4,797.06 = 1,964.58 : x
  2. Step 2: Convert to fraction form
    3,197.94/4,797.06 = 1,964.58/x
  3. Step 3: Cross multiply
    3,197.94x = 4,797.06 × 1,964.58
  4. Step 4: Simplify right side
    3,197.94x = 9,424,208.13
  5. Step 5: Solve for x
    x = 9,424,208.13/3,197.94
  6. Step 6: Final answer
    x = 2,946.96

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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.