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Finding the Fourth Proportional to 4,761.44, 7,137.78 and 1,640.70

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Solution

The fourth proportional to 4,761.44, 7,137.78 and 1,640.70 is: 2,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.44 : 7,137.78 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    4,761.44/7,137.78 = 1,640.70/x
  3. Step 3: Cross multiply
    4,761.44x = 7,137.78 × 1,640.70
  4. Step 4: Simplify right side
    4,761.44x = 11,710,949.49
  5. Step 5: Solve for x
    x = 11,710,949.49/4,761.44
  6. Step 6: Final answer
    x = 2,459.54

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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.