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Finding the Fourth Proportional to 2,108, 3,160.56 and 1,286.56

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Solution

The fourth proportional to 2,108, 3,160.56 and 1,286.56 is: 1,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108 : 3,160.56 = 1,286.56 : x
  2. Step 2: Convert to fraction form
    2,108/3,160.56 = 1,286.56/x
  3. Step 3: Cross multiply
    2,108x = 3,160.56 × 1,286.56
  4. Step 4: Simplify right side
    2,108x = 4,066,250.07
  5. Step 5: Solve for x
    x = 4,066,250.07/2,108
  6. Step 6: Final answer
    x = 1,928.96

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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.