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Finding the Fourth Proportional to 2,081.60, 3,118.81 and 1,462.41

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Solution

The fourth proportional to 2,081.60, 3,118.81 and 1,462.41 is: 2,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.60 : 3,118.81 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    2,081.60/3,118.81 = 1,462.41/x
  3. Step 3: Cross multiply
    2,081.60x = 3,118.81 × 1,462.41
  4. Step 4: Simplify right side
    2,081.60x = 4,560,978.02
  5. Step 5: Solve for x
    x = 4,560,978.02/2,081.60
  6. Step 6: Final answer
    x = 2,191.09

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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.