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Finding the Fourth Proportional to 2,688.68, 4,027.14 and 1,906.31

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Solution

The fourth proportional to 2,688.68, 4,027.14 and 1,906.31 is: 2,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.68 : 4,027.14 = 1,906.31 : x
  2. Step 2: Convert to fraction form
    2,688.68/4,027.14 = 1,906.31/x
  3. Step 3: Cross multiply
    2,688.68x = 4,027.14 × 1,906.31
  4. Step 4: Simplify right side
    2,688.68x = 7,676,977.25
  5. Step 5: Solve for x
    x = 7,676,977.25/2,688.68
  6. Step 6: Final answer
    x = 2,855.30

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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.