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Finding the Fourth Proportional to 1,691.43, 2,336.46 and 1,274.94

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Solution

The fourth proportional to 1,691.43, 2,336.46 and 1,274.94 is: 1,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.43 : 2,336.46 = 1,274.94 : x
  2. Step 2: Convert to fraction form
    1,691.43/2,336.46 = 1,274.94/x
  3. Step 3: Cross multiply
    1,691.43x = 2,336.46 × 1,274.94
  4. Step 4: Simplify right side
    1,691.43x = 2,978,846.31
  5. Step 5: Solve for x
    x = 2,978,846.31/1,691.43
  6. Step 6: Final answer
    x = 1,761.14

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