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Finding the Fourth Proportional to 2,168.68, 3,251.64 and 1,195.47

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Solution

The fourth proportional to 2,168.68, 3,251.64 and 1,195.47 is: 1,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.68 : 3,251.64 = 1,195.47 : x
  2. Step 2: Convert to fraction form
    2,168.68/3,251.64 = 1,195.47/x
  3. Step 3: Cross multiply
    2,168.68x = 3,251.64 × 1,195.47
  4. Step 4: Simplify right side
    2,168.68x = 3,887,238.07
  5. Step 5: Solve for x
    x = 3,887,238.07/2,168.68
  6. Step 6: Final answer
    x = 1,792.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.