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Finding the Fourth Proportional to 2,677.96, 4,015.92 and 1,290.83

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Solution

The fourth proportional to 2,677.96, 4,015.92 and 1,290.83 is: 1,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.96 : 4,015.92 = 1,290.83 : x
  2. Step 2: Convert to fraction form
    2,677.96/4,015.92 = 1,290.83/x
  3. Step 3: Cross multiply
    2,677.96x = 4,015.92 × 1,290.83
  4. Step 4: Simplify right side
    2,677.96x = 5,183,870.01
  5. Step 5: Solve for x
    x = 5,183,870.01/2,677.96
  6. Step 6: Final answer
    x = 1,935.76

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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.