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Finding the Fourth Proportional to 1,296.43, 1,935.23 and 1,200.06

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Solution

The fourth proportional to 1,296.43, 1,935.23 and 1,200.06 is: 1,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.43 : 1,935.23 = 1,200.06 : x
  2. Step 2: Convert to fraction form
    1,296.43/1,935.23 = 1,200.06/x
  3. Step 3: Cross multiply
    1,296.43x = 1,935.23 × 1,200.06
  4. Step 4: Simplify right side
    1,296.43x = 2,322,392.11
  5. Step 5: Solve for x
    x = 2,322,392.11/1,296.43
  6. Step 6: Final answer
    x = 1,791.37

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