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Finding the Fourth Proportional to 2,340.49, 3,229.31 and 1,396.64

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Solution

The fourth proportional to 2,340.49, 3,229.31 and 1,396.64 is: 1,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.49 : 3,229.31 = 1,396.64 : x
  2. Step 2: Convert to fraction form
    2,340.49/3,229.31 = 1,396.64/x
  3. Step 3: Cross multiply
    2,340.49x = 3,229.31 × 1,396.64
  4. Step 4: Simplify right side
    2,340.49x = 4,510,170.86
  5. Step 5: Solve for x
    x = 4,510,170.86/2,340.49
  6. Step 6: Final answer
    x = 1,927.02

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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.