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Finding the Fourth Proportional to 2,321.22, 3,478.80 and 2,011.80

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Solution

The fourth proportional to 2,321.22, 3,478.80 and 2,011.80 is: 3,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.22 : 3,478.80 = 2,011.80 : x
  2. Step 2: Convert to fraction form
    2,321.22/3,478.80 = 2,011.80/x
  3. Step 3: Cross multiply
    2,321.22x = 3,478.80 × 2,011.80
  4. Step 4: Simplify right side
    2,321.22x = 6,998,659.11
  5. Step 5: Solve for x
    x = 6,998,659.11/2,321.22
  6. Step 6: Final answer
    x = 3,015.07

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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.