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Finding the Fourth Proportional to 2,756.62, 4,131.69 and 1,783.27

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Solution

The fourth proportional to 2,756.62, 4,131.69 and 1,783.27 is: 2,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.62 : 4,131.69 = 1,783.27 : x
  2. Step 2: Convert to fraction form
    2,756.62/4,131.69 = 1,783.27/x
  3. Step 3: Cross multiply
    2,756.62x = 4,131.69 × 1,783.27
  4. Step 4: Simplify right side
    2,756.62x = 7,367,918.83
  5. Step 5: Solve for x
    x = 7,367,918.83/2,756.62
  6. Step 6: Final answer
    x = 2,672.81

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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.