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Finding the Fourth Proportional to 2,380.24, 3,568.42 and 994.60

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Solution

The fourth proportional to 2,380.24, 3,568.42 and 994.60 is: 1,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.24 : 3,568.42 = 994.60 : x
  2. Step 2: Convert to fraction form
    2,380.24/3,568.42 = 994.60/x
  3. Step 3: Cross multiply
    2,380.24x = 3,568.42 × 994.60
  4. Step 4: Simplify right side
    2,380.24x = 3,549,150.53
  5. Step 5: Solve for x
    x = 3,549,150.53/2,380.24
  6. Step 6: Final answer
    x = 1,491.09

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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.