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Finding the Fourth Proportional to 3,074.60, 4,232.60 and 2,778.96

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Solution

The fourth proportional to 3,074.60, 4,232.60 and 2,778.96 is: 3,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.60 : 4,232.60 = 2,778.96 : x
  2. Step 2: Convert to fraction form
    3,074.60/4,232.60 = 2,778.96/x
  3. Step 3: Cross multiply
    3,074.60x = 4,232.60 × 2,778.96
  4. Step 4: Simplify right side
    3,074.60x = 11,762,226.10
  5. Step 5: Solve for x
    x = 11,762,226.10/3,074.60
  6. Step 6: Final answer
    x = 3,825.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.