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Finding the Fourth Proportional to 2,317.99, 3,198.81 and 1,270.03

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Solution

The fourth proportional to 2,317.99, 3,198.81 and 1,270.03 is: 1,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.99 : 3,198.81 = 1,270.03 : x
  2. Step 2: Convert to fraction form
    2,317.99/3,198.81 = 1,270.03/x
  3. Step 3: Cross multiply
    2,317.99x = 3,198.81 × 1,270.03
  4. Step 4: Simplify right side
    2,317.99x = 4,062,584.66
  5. Step 5: Solve for x
    x = 4,062,584.66/2,317.99
  6. Step 6: Final answer
    x = 1,752.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.