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Finding the Fourth Proportional to 2,185.67, 3,272.19 and 1,960.32

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Solution

The fourth proportional to 2,185.67, 3,272.19 and 1,960.32 is: 2,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.67 : 3,272.19 = 1,960.32 : x
  2. Step 2: Convert to fraction form
    2,185.67/3,272.19 = 1,960.32/x
  3. Step 3: Cross multiply
    2,185.67x = 3,272.19 × 1,960.32
  4. Step 4: Simplify right side
    2,185.67x = 6,414,551.77
  5. Step 5: Solve for x
    x = 6,414,551.77/2,185.67
  6. Step 6: Final answer
    x = 2,934.82

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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.