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Finding the Fourth Proportional to 2,380.59, 3,283.88 and 1,680.75

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Solution

The fourth proportional to 2,380.59, 3,283.88 and 1,680.75 is: 2,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.59 : 3,283.88 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    2,380.59/3,283.88 = 1,680.75/x
  3. Step 3: Cross multiply
    2,380.59x = 3,283.88 × 1,680.75
  4. Step 4: Simplify right side
    2,380.59x = 5,519,372.91
  5. Step 5: Solve for x
    x = 5,519,372.91/2,380.59
  6. Step 6: Final answer
    x = 2,318.49

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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.