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Finding the Fourth Proportional to 2,270.30, 3,405.45 and 2,255.90

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Solution

The fourth proportional to 2,270.30, 3,405.45 and 2,255.90 is: 3,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.30 : 3,405.45 = 2,255.90 : x
  2. Step 2: Convert to fraction form
    2,270.30/3,405.45 = 2,255.90/x
  3. Step 3: Cross multiply
    2,270.30x = 3,405.45 × 2,255.90
  4. Step 4: Simplify right side
    2,270.30x = 7,682,354.66
  5. Step 5: Solve for x
    x = 7,682,354.66/2,270.30
  6. Step 6: Final answer
    x = 3,383.85

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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.