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Finding the Fourth Proportional to 2,074.70, 3,112.06 and 613.86

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Solution

The fourth proportional to 2,074.70, 3,112.06 and 613.86 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.70 : 3,112.06 = 613.86 : x
  2. Step 2: Convert to fraction form
    2,074.70/3,112.06 = 613.86/x
  3. Step 3: Cross multiply
    2,074.70x = 3,112.06 × 613.86
  4. Step 4: Simplify right side
    2,074.70x = 1,910,369.15
  5. Step 5: Solve for x
    x = 1,910,369.15/2,074.70
  6. Step 6: Final answer
    x = 920.79

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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.