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Finding the Fourth Proportional to 2,074.86, 3,112.61 and 613.85

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Solution

The fourth proportional to 2,074.86, 3,112.61 and 613.85 is: 920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.86 : 3,112.61 = 613.85 : x
  2. Step 2: Convert to fraction form
    2,074.86/3,112.61 = 613.85/x
  3. Step 3: Cross multiply
    2,074.86x = 3,112.61 × 613.85
  4. Step 4: Simplify right side
    2,074.86x = 1,910,657.02
  5. Step 5: Solve for x
    x = 1,910,657.02/2,074.86
  6. Step 6: Final answer
    x = 920.86

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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.