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Finding the Fourth Proportional to 3,227.85, 4,455.41 and 2,049.30

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Solution

The fourth proportional to 3,227.85, 4,455.41 and 2,049.30 is: 2,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.85 : 4,455.41 = 2,049.30 : x
  2. Step 2: Convert to fraction form
    3,227.85/4,455.41 = 2,049.30/x
  3. Step 3: Cross multiply
    3,227.85x = 4,455.41 × 2,049.30
  4. Step 4: Simplify right side
    3,227.85x = 9,130,461.47
  5. Step 5: Solve for x
    x = 9,130,461.47/3,227.85
  6. Step 6: Final answer
    x = 2,828.65

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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.