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Finding the Fourth Proportional to 3,074.56, 4,601.76 and 2,641.92

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Solution

The fourth proportional to 3,074.56, 4,601.76 and 2,641.92 is: 3,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.56 : 4,601.76 = 2,641.92 : x
  2. Step 2: Convert to fraction form
    3,074.56/4,601.76 = 2,641.92/x
  3. Step 3: Cross multiply
    3,074.56x = 4,601.76 × 2,641.92
  4. Step 4: Simplify right side
    3,074.56x = 12,157,481.78
  5. Step 5: Solve for x
    x = 12,157,481.78/3,074.56
  6. Step 6: Final answer
    x = 3,954.22

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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.