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Finding the Fourth Proportional to 2,751.10, 3,797.97 and 2,120.24

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Solution

The fourth proportional to 2,751.10, 3,797.97 and 2,120.24 is: 2,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.10 : 3,797.97 = 2,120.24 : x
  2. Step 2: Convert to fraction form
    2,751.10/3,797.97 = 2,120.24/x
  3. Step 3: Cross multiply
    2,751.10x = 3,797.97 × 2,120.24
  4. Step 4: Simplify right side
    2,751.10x = 8,052,607.91
  5. Step 5: Solve for x
    x = 8,052,607.91/2,751.10
  6. Step 6: Final answer
    x = 2,927.05

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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.