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Finding the Fourth Proportional to 1,296.43, 1,935.24 and 1,200.08

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Solution

The fourth proportional to 1,296.43, 1,935.24 and 1,200.08 is: 1,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.43 : 1,935.24 = 1,200.08 : x
  2. Step 2: Convert to fraction form
    1,296.43/1,935.24 = 1,200.08/x
  3. Step 3: Cross multiply
    1,296.43x = 1,935.24 × 1,200.08
  4. Step 4: Simplify right side
    1,296.43x = 2,322,433.14
  5. Step 5: Solve for x
    x = 2,322,433.14/1,296.43
  6. Step 6: Final answer
    x = 1,791.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.