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Finding the Fourth Proportional to 3,277.70, 4,917.78 and 1,962.38

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Solution

The fourth proportional to 3,277.70, 4,917.78 and 1,962.38 is: 2,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.70 : 4,917.78 = 1,962.38 : x
  2. Step 2: Convert to fraction form
    3,277.70/4,917.78 = 1,962.38/x
  3. Step 3: Cross multiply
    3,277.70x = 4,917.78 × 1,962.38
  4. Step 4: Simplify right side
    3,277.70x = 9,650,575.35
  5. Step 5: Solve for x
    x = 9,650,575.35/3,277.70
  6. Step 6: Final answer
    x = 2,944.31

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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.