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Finding the Fourth Proportional to 2,776.56, 4,165.99 and 2,039.94

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Solution

The fourth proportional to 2,776.56, 4,165.99 and 2,039.94 is: 3,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.56 : 4,165.99 = 2,039.94 : x
  2. Step 2: Convert to fraction form
    2,776.56/4,165.99 = 2,039.94/x
  3. Step 3: Cross multiply
    2,776.56x = 4,165.99 × 2,039.94
  4. Step 4: Simplify right side
    2,776.56x = 8,498,369.64
  5. Step 5: Solve for x
    x = 8,498,369.64/2,776.56
  6. Step 6: Final answer
    x = 3,060.75

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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.