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Finding the Fourth Proportional to 2,454.83, 3,387.20 and 2,081.22

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Solution

The fourth proportional to 2,454.83, 3,387.20 and 2,081.22 is: 2,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.83 : 3,387.20 = 2,081.22 : x
  2. Step 2: Convert to fraction form
    2,454.83/3,387.20 = 2,081.22/x
  3. Step 3: Cross multiply
    2,454.83x = 3,387.20 × 2,081.22
  4. Step 4: Simplify right side
    2,454.83x = 7,049,497.98
  5. Step 5: Solve for x
    x = 7,049,497.98/2,454.83
  6. Step 6: Final answer
    x = 2,871.68

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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.