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Finding the Fourth Proportional to 1,691.72, 2,336.82 and 1,361.37

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Solution

The fourth proportional to 1,691.72, 2,336.82 and 1,361.37 is: 1,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.72 : 2,336.82 = 1,361.37 : x
  2. Step 2: Convert to fraction form
    1,691.72/2,336.82 = 1,361.37/x
  3. Step 3: Cross multiply
    1,691.72x = 2,336.82 × 1,361.37
  4. Step 4: Simplify right side
    1,691.72x = 3,181,280.30
  5. Step 5: Solve for x
    x = 3,181,280.30/1,691.72
  6. Step 6: Final answer
    x = 1,880.50

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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.