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Finding the Fourth Proportional to 3,102.56, 4,662.60 and 2,342.24

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Solution

The fourth proportional to 3,102.56, 4,662.60 and 2,342.24 is: 3,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.56 : 4,662.60 = 2,342.24 : x
  2. Step 2: Convert to fraction form
    3,102.56/4,662.60 = 2,342.24/x
  3. Step 3: Cross multiply
    3,102.56x = 4,662.60 × 2,342.24
  4. Step 4: Simplify right side
    3,102.56x = 10,920,928.22
  5. Step 5: Solve for x
    x = 10,920,928.22/3,102.56
  6. Step 6: Final answer
    x = 3,519.97

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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.