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Finding the Fourth Proportional to 2,108.68, 3,164.10 and 1,277.73

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Solution

The fourth proportional to 2,108.68, 3,164.10 and 1,277.73 is: 1,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.68 : 3,164.10 = 1,277.73 : x
  2. Step 2: Convert to fraction form
    2,108.68/3,164.10 = 1,277.73/x
  3. Step 3: Cross multiply
    2,108.68x = 3,164.10 × 1,277.73
  4. Step 4: Simplify right side
    2,108.68x = 4,042,858.51
  5. Step 5: Solve for x
    x = 4,042,858.51/2,108.68
  6. Step 6: Final answer
    x = 1,917.24

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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.