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Finding the Fourth Proportional to 2,953.87, 4,430.72 and 1,198.41

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Solution

The fourth proportional to 2,953.87, 4,430.72 and 1,198.41 is: 1,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.87 : 4,430.72 = 1,198.41 : x
  2. Step 2: Convert to fraction form
    2,953.87/4,430.72 = 1,198.41/x
  3. Step 3: Cross multiply
    2,953.87x = 4,430.72 × 1,198.41
  4. Step 4: Simplify right side
    2,953.87x = 5,309,805.54
  5. Step 5: Solve for x
    x = 5,309,805.54/2,953.87
  6. Step 6: Final answer
    x = 1,797.58

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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.