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Finding the Fourth Proportional to 2,756.84, 3,810.44 and 2,016.09

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Solution

The fourth proportional to 2,756.84, 3,810.44 and 2,016.09 is: 2,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.84 : 3,810.44 = 2,016.09 : x
  2. Step 2: Convert to fraction form
    2,756.84/3,810.44 = 2,016.09/x
  3. Step 3: Cross multiply
    2,756.84x = 3,810.44 × 2,016.09
  4. Step 4: Simplify right side
    2,756.84x = 7,682,195.02
  5. Step 5: Solve for x
    x = 7,682,195.02/2,756.84
  6. Step 6: Final answer
    x = 2,786.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.