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Finding the Fourth Proportional to 2,147.70, 3,219.49 and 1,365.28

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Solution

The fourth proportional to 2,147.70, 3,219.49 and 1,365.28 is: 2,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.70 : 3,219.49 = 1,365.28 : x
  2. Step 2: Convert to fraction form
    2,147.70/3,219.49 = 1,365.28/x
  3. Step 3: Cross multiply
    2,147.70x = 3,219.49 × 1,365.28
  4. Step 4: Simplify right side
    2,147.70x = 4,395,498.97
  5. Step 5: Solve for x
    x = 4,395,498.97/2,147.70
  6. Step 6: Final answer
    x = 2,046.61

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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.