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Finding the Fourth Proportional to 4,194.85, 6,297.14 and 2,250.85

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Solution

The fourth proportional to 4,194.85, 6,297.14 and 2,250.85 is: 3,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.85 : 6,297.14 = 2,250.85 : x
  2. Step 2: Convert to fraction form
    4,194.85/6,297.14 = 2,250.85/x
  3. Step 3: Cross multiply
    4,194.85x = 6,297.14 × 2,250.85
  4. Step 4: Simplify right side
    4,194.85x = 14,173,927.68
  5. Step 5: Solve for x
    x = 14,173,927.68/4,194.85
  6. Step 6: Final answer
    x = 3,378.89

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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.