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Finding the Fourth Proportional to 2,310.80, 3,185.98 and 1,680.84

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Solution

The fourth proportional to 2,310.80, 3,185.98 and 1,680.84 is: 2,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.80 : 3,185.98 = 1,680.84 : x
  2. Step 2: Convert to fraction form
    2,310.80/3,185.98 = 1,680.84/x
  3. Step 3: Cross multiply
    2,310.80x = 3,185.98 × 1,680.84
  4. Step 4: Simplify right side
    2,310.80x = 5,355,122.62
  5. Step 5: Solve for x
    x = 5,355,122.62/2,310.80
  6. Step 6: Final answer
    x = 2,317.43

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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.