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Finding the Fourth Proportional to 2,757.56, 4,131.92 and 2,477.80

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Solution

The fourth proportional to 2,757.56, 4,131.92 and 2,477.80 is: 3,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.56 : 4,131.92 = 2,477.80 : x
  2. Step 2: Convert to fraction form
    2,757.56/4,131.92 = 2,477.80/x
  3. Step 3: Cross multiply
    2,757.56x = 4,131.92 × 2,477.80
  4. Step 4: Simplify right side
    2,757.56x = 10,238,071.38
  5. Step 5: Solve for x
    x = 10,238,071.38/2,757.56
  6. Step 6: Final answer
    x = 3,712.73

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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.