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Finding the Fourth Proportional to 2,336.90, 3,227.70 and 1,706.41

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Solution

The fourth proportional to 2,336.90, 3,227.70 and 1,706.41 is: 2,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.90 : 3,227.70 = 1,706.41 : x
  2. Step 2: Convert to fraction form
    2,336.90/3,227.70 = 1,706.41/x
  3. Step 3: Cross multiply
    2,336.90x = 3,227.70 × 1,706.41
  4. Step 4: Simplify right side
    2,336.90x = 5,507,789.99
  5. Step 5: Solve for x
    x = 5,507,789.99/2,336.90
  6. Step 6: Final answer
    x = 2,356.88

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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.