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Finding the Fourth Proportional to 2,340.41, 3,229.98 and 1,396.24

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Solution

The fourth proportional to 2,340.41, 3,229.98 and 1,396.24 is: 1,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.41 : 3,229.98 = 1,396.24 : x
  2. Step 2: Convert to fraction form
    2,340.41/3,229.98 = 1,396.24/x
  3. Step 3: Cross multiply
    2,340.41x = 3,229.98 × 1,396.24
  4. Step 4: Simplify right side
    2,340.41x = 4,509,827.28
  5. Step 5: Solve for x
    x = 4,509,827.28/2,340.41
  6. Step 6: Final answer
    x = 1,926.94

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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.