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Finding the Fourth Proportional to 3,232.80, 4,850.64 and 1,153.44

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Solution

The fourth proportional to 3,232.80, 4,850.64 and 1,153.44 is: 1,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.80 : 4,850.64 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    3,232.80/4,850.64 = 1,153.44/x
  3. Step 3: Cross multiply
    3,232.80x = 4,850.64 × 1,153.44
  4. Step 4: Simplify right side
    3,232.80x = 5,594,922.20
  5. Step 5: Solve for x
    x = 5,594,922.20/3,232.80
  6. Step 6: Final answer
    x = 1,730.67

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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.