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Finding the Fourth Proportional to 2,953.75, 4,430.78 and 1,198.49

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Solution

The fourth proportional to 2,953.75, 4,430.78 and 1,198.49 is: 1,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.75 : 4,430.78 = 1,198.49 : x
  2. Step 2: Convert to fraction form
    2,953.75/4,430.78 = 1,198.49/x
  3. Step 3: Cross multiply
    2,953.75x = 4,430.78 × 1,198.49
  4. Step 4: Simplify right side
    2,953.75x = 5,310,245.52
  5. Step 5: Solve for x
    x = 5,310,245.52/2,953.75
  6. Step 6: Final answer
    x = 1,797.80

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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.