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Finding the Fourth Proportional to 1,983.24, 2,736.14 and 1,197

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Solution

The fourth proportional to 1,983.24, 2,736.14 and 1,197 is: 1,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.24 : 2,736.14 = 1,197 : x
  2. Step 2: Convert to fraction form
    1,983.24/2,736.14 = 1,197/x
  3. Step 3: Cross multiply
    1,983.24x = 2,736.14 × 1,197
  4. Step 4: Simplify right side
    1,983.24x = 3,275,159.58
  5. Step 5: Solve for x
    x = 3,275,159.58/1,983.24
  6. Step 6: Final answer
    x = 1,651.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.