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Finding the Fourth Proportional to 2,847.33, 4,264.43 and 2,748.82

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Solution

The fourth proportional to 2,847.33, 4,264.43 and 2,748.82 is: 4,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.33 : 4,264.43 = 2,748.82 : x
  2. Step 2: Convert to fraction form
    2,847.33/4,264.43 = 2,748.82/x
  3. Step 3: Cross multiply
    2,847.33x = 4,264.43 × 2,748.82
  4. Step 4: Simplify right side
    2,847.33x = 11,722,136.73
  5. Step 5: Solve for x
    x = 11,722,136.73/2,847.33
  6. Step 6: Final answer
    x = 4,116.89

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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.