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Finding the Fourth Proportional to 3,092.56, 4,635.60 and 1,447.78

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Solution

The fourth proportional to 3,092.56, 4,635.60 and 1,447.78 is: 2,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.56 : 4,635.60 = 1,447.78 : x
  2. Step 2: Convert to fraction form
    3,092.56/4,635.60 = 1,447.78/x
  3. Step 3: Cross multiply
    3,092.56x = 4,635.60 × 1,447.78
  4. Step 4: Simplify right side
    3,092.56x = 6,711,328.97
  5. Step 5: Solve for x
    x = 6,711,328.97/3,092.56
  6. Step 6: Final answer
    x = 2,170.15

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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.