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Finding the Fourth Proportional to 2,847.58, 4,270.55 and 1,092.46

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Solution

The fourth proportional to 2,847.58, 4,270.55 and 1,092.46 is: 1,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.58 : 4,270.55 = 1,092.46 : x
  2. Step 2: Convert to fraction form
    2,847.58/4,270.55 = 1,092.46/x
  3. Step 3: Cross multiply
    2,847.58x = 4,270.55 × 1,092.46
  4. Step 4: Simplify right side
    2,847.58x = 4,665,405.05
  5. Step 5: Solve for x
    x = 4,665,405.05/2,847.58
  6. Step 6: Final answer
    x = 1,638.38

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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.