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Finding the Fourth Proportional to 2,776.68, 3,826.44 and 2,112.48

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Solution

The fourth proportional to 2,776.68, 3,826.44 and 2,112.48 is: 2,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.68 : 3,826.44 = 2,112.48 : x
  2. Step 2: Convert to fraction form
    2,776.68/3,826.44 = 2,112.48/x
  3. Step 3: Cross multiply
    2,776.68x = 3,826.44 × 2,112.48
  4. Step 4: Simplify right side
    2,776.68x = 8,083,277.97
  5. Step 5: Solve for x
    x = 8,083,277.97/2,776.68
  6. Step 6: Final answer
    x = 2,911.13

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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.