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Finding the Fourth Proportional to 2,678.82, 4,015.56 and 1,291.77

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Solution

The fourth proportional to 2,678.82, 4,015.56 and 1,291.77 is: 1,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.82 : 4,015.56 = 1,291.77 : x
  2. Step 2: Convert to fraction form
    2,678.82/4,015.56 = 1,291.77/x
  3. Step 3: Cross multiply
    2,678.82x = 4,015.56 × 1,291.77
  4. Step 4: Simplify right side
    2,678.82x = 5,187,179.94
  5. Step 5: Solve for x
    x = 5,187,179.94/2,678.82
  6. Step 6: Final answer
    x = 1,936.37

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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.