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Finding the Fourth Proportional to 3,198.05, 4,802.29 and 1,973.24

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Solution

The fourth proportional to 3,198.05, 4,802.29 and 1,973.24 is: 2,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.05 : 4,802.29 = 1,973.24 : x
  2. Step 2: Convert to fraction form
    3,198.05/4,802.29 = 1,973.24/x
  3. Step 3: Cross multiply
    3,198.05x = 4,802.29 × 1,973.24
  4. Step 4: Simplify right side
    3,198.05x = 9,476,060.85
  5. Step 5: Solve for x
    x = 9,476,060.85/3,198.05
  6. Step 6: Final answer
    x = 2,963.07

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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.