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Finding the Fourth Proportional to 2,452.56, 3,680.46 and 2,056.47

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Solution

The fourth proportional to 2,452.56, 3,680.46 and 2,056.47 is: 3,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.56 : 3,680.46 = 2,056.47 : x
  2. Step 2: Convert to fraction form
    2,452.56/3,680.46 = 2,056.47/x
  3. Step 3: Cross multiply
    2,452.56x = 3,680.46 × 2,056.47
  4. Step 4: Simplify right side
    2,452.56x = 7,568,755.58
  5. Step 5: Solve for x
    x = 7,568,755.58/2,452.56
  6. Step 6: Final answer
    x = 3,086.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.