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Finding the Fourth Proportional to 2,821.06, 4,224.30 and 2,751.40

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Solution

The fourth proportional to 2,821.06, 4,224.30 and 2,751.40 is: 4,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.06 : 4,224.30 = 2,751.40 : x
  2. Step 2: Convert to fraction form
    2,821.06/4,224.30 = 2,751.40/x
  3. Step 3: Cross multiply
    2,821.06x = 4,224.30 × 2,751.40
  4. Step 4: Simplify right side
    2,821.06x = 11,622,739.02
  5. Step 5: Solve for x
    x = 11,622,739.02/2,821.06
  6. Step 6: Final answer
    x = 4,119.99

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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.