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Finding the Fourth Proportional to 2,380.28, 3,568.25 and 920.52

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Solution

The fourth proportional to 2,380.28, 3,568.25 and 920.52 is: 1,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.28 : 3,568.25 = 920.52 : x
  2. Step 2: Convert to fraction form
    2,380.28/3,568.25 = 920.52/x
  3. Step 3: Cross multiply
    2,380.28x = 3,568.25 × 920.52
  4. Step 4: Simplify right side
    2,380.28x = 3,284,647.79
  5. Step 5: Solve for x
    x = 3,284,647.79/2,380.28
  6. Step 6: Final answer
    x = 1,379.94

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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.