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Finding the Fourth Proportional to 2,315.31, 3,194.53 and 1,724.82

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Solution

The fourth proportional to 2,315.31, 3,194.53 and 1,724.82 is: 2,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.31 : 3,194.53 = 1,724.82 : x
  2. Step 2: Convert to fraction form
    2,315.31/3,194.53 = 1,724.82/x
  3. Step 3: Cross multiply
    2,315.31x = 3,194.53 × 1,724.82
  4. Step 4: Simplify right side
    2,315.31x = 5,509,989.23
  5. Step 5: Solve for x
    x = 5,509,989.23/2,315.31
  6. Step 6: Final answer
    x = 2,379.81

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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.