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Finding the Fourth Proportional to 2,281.70, 3,422.01 and 2,231.21

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Solution

The fourth proportional to 2,281.70, 3,422.01 and 2,231.21 is: 3,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.70 : 3,422.01 = 2,231.21 : x
  2. Step 2: Convert to fraction form
    2,281.70/3,422.01 = 2,231.21/x
  3. Step 3: Cross multiply
    2,281.70x = 3,422.01 × 2,231.21
  4. Step 4: Simplify right side
    2,281.70x = 7,635,222.93
  5. Step 5: Solve for x
    x = 7,635,222.93/2,281.70
  6. Step 6: Final answer
    x = 3,346.29

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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.