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Finding the Fourth Proportional to 4,760.85, 7,141.74 and 1,640.44

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Solution

The fourth proportional to 4,760.85, 7,141.74 and 1,640.44 is: 2,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.85 : 7,141.74 = 1,640.44 : x
  2. Step 2: Convert to fraction form
    4,760.85/7,141.74 = 1,640.44/x
  3. Step 3: Cross multiply
    4,760.85x = 7,141.74 × 1,640.44
  4. Step 4: Simplify right side
    4,760.85x = 11,715,595.97
  5. Step 5: Solve for x
    x = 11,715,595.97/4,760.85
  6. Step 6: Final answer
    x = 2,460.82

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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.