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Finding the Fourth Proportional to 2,316.06, 3,198.15 and 1,729.22

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Solution

The fourth proportional to 2,316.06, 3,198.15 and 1,729.22 is: 2,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.06 : 3,198.15 = 1,729.22 : x
  2. Step 2: Convert to fraction form
    2,316.06/3,198.15 = 1,729.22/x
  3. Step 3: Cross multiply
    2,316.06x = 3,198.15 × 1,729.22
  4. Step 4: Simplify right side
    2,316.06x = 5,530,288.95
  5. Step 5: Solve for x
    x = 5,530,288.95/2,316.06
  6. Step 6: Final answer
    x = 2,387.80

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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.