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Finding the Fourth Proportional to 2,380.86, 3,570.66 and 820.62

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Solution

The fourth proportional to 2,380.86, 3,570.66 and 820.62 is: 1,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.86 : 3,570.66 = 820.62 : x
  2. Step 2: Convert to fraction form
    2,380.86/3,570.66 = 820.62/x
  3. Step 3: Cross multiply
    2,380.86x = 3,570.66 × 820.62
  4. Step 4: Simplify right side
    2,380.86x = 2,930,155.01
  5. Step 5: Solve for x
    x = 2,930,155.01/2,380.86
  6. Step 6: Final answer
    x = 1,230.71

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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.