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Finding the Fourth Proportional to 2,185.58, 3,272.05 and 1,960.23

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Solution

The fourth proportional to 2,185.58, 3,272.05 and 1,960.23 is: 2,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.58 : 3,272.05 = 1,960.23 : x
  2. Step 2: Convert to fraction form
    2,185.58/3,272.05 = 1,960.23/x
  3. Step 3: Cross multiply
    2,185.58x = 3,272.05 × 1,960.23
  4. Step 4: Simplify right side
    2,185.58x = 6,413,961.37
  5. Step 5: Solve for x
    x = 6,413,961.37/2,185.58
  6. Step 6: Final answer
    x = 2,934.68

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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.