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Finding the Fourth Proportional to 2,185.56, 3,270.21 and 1,308.54

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Solution

The fourth proportional to 2,185.56, 3,270.21 and 1,308.54 is: 1,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.56 : 3,270.21 = 1,308.54 : x
  2. Step 2: Convert to fraction form
    2,185.56/3,270.21 = 1,308.54/x
  3. Step 3: Cross multiply
    2,185.56x = 3,270.21 × 1,308.54
  4. Step 4: Simplify right side
    2,185.56x = 4,279,200.59
  5. Step 5: Solve for x
    x = 4,279,200.59/2,185.56
  6. Step 6: Final answer
    x = 1,957.94

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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.