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Finding the Fourth Proportional to 2,208.70, 3,044.73 and 1,618.30

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Solution

The fourth proportional to 2,208.70, 3,044.73 and 1,618.30 is: 2,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.70 : 3,044.73 = 1,618.30 : x
  2. Step 2: Convert to fraction form
    2,208.70/3,044.73 = 1,618.30/x
  3. Step 3: Cross multiply
    2,208.70x = 3,044.73 × 1,618.30
  4. Step 4: Simplify right side
    2,208.70x = 4,927,286.56
  5. Step 5: Solve for x
    x = 4,927,286.56/2,208.70
  6. Step 6: Final answer
    x = 2,230.85

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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.