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Finding the Fourth Proportional to 2,160.78, 3,245.57 and 1,906.54

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Solution

The fourth proportional to 2,160.78, 3,245.57 and 1,906.54 is: 2,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.78 : 3,245.57 = 1,906.54 : x
  2. Step 2: Convert to fraction form
    2,160.78/3,245.57 = 1,906.54/x
  3. Step 3: Cross multiply
    2,160.78x = 3,245.57 × 1,906.54
  4. Step 4: Simplify right side
    2,160.78x = 6,187,798.53
  5. Step 5: Solve for x
    x = 6,187,798.53/2,160.78
  6. Step 6: Final answer
    x = 2,863.69

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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.