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Finding the Fourth Proportional to 3,121.97, 4,308.32 and 1,724.72

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Solution

The fourth proportional to 3,121.97, 4,308.32 and 1,724.72 is: 2,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.97 : 4,308.32 = 1,724.72 : x
  2. Step 2: Convert to fraction form
    3,121.97/4,308.32 = 1,724.72/x
  3. Step 3: Cross multiply
    3,121.97x = 4,308.32 × 1,724.72
  4. Step 4: Simplify right side
    3,121.97x = 7,430,647.82
  5. Step 5: Solve for x
    x = 7,430,647.82/3,121.97
  6. Step 6: Final answer
    x = 2,380.11

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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.