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Finding the Fourth Proportional to 2,144.70, 3,212.28 and 1,320.48

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Solution

The fourth proportional to 2,144.70, 3,212.28 and 1,320.48 is: 1,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.70 : 3,212.28 = 1,320.48 : x
  2. Step 2: Convert to fraction form
    2,144.70/3,212.28 = 1,320.48/x
  3. Step 3: Cross multiply
    2,144.70x = 3,212.28 × 1,320.48
  4. Step 4: Simplify right side
    2,144.70x = 4,241,751.49
  5. Step 5: Solve for x
    x = 4,241,751.49/2,144.70
  6. Step 6: Final answer
    x = 1,977.78

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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.