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Finding the Fourth Proportional to 2,847.75, 4,270.82 and 2,061.24

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Solution

The fourth proportional to 2,847.75, 4,270.82 and 2,061.24 is: 3,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.75 : 4,270.82 = 2,061.24 : x
  2. Step 2: Convert to fraction form
    2,847.75/4,270.82 = 2,061.24/x
  3. Step 3: Cross multiply
    2,847.75x = 4,270.82 × 2,061.24
  4. Step 4: Simplify right side
    2,847.75x = 8,803,174.71
  5. Step 5: Solve for x
    x = 8,803,174.71/2,847.75
  6. Step 6: Final answer
    x = 3,091.27

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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.