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Finding the Fourth Proportional to 4,813, 7,219.50 and 1,165

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Solution

The fourth proportional to 4,813, 7,219.50 and 1,165 is: 1,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813 : 7,219.50 = 1,165 : x
  2. Step 2: Convert to fraction form
    4,813/7,219.50 = 1,165/x
  3. Step 3: Cross multiply
    4,813x = 7,219.50 × 1,165
  4. Step 4: Simplify right side
    4,813x = 8,410,717.50
  5. Step 5: Solve for x
    x = 8,410,717.50/4,813
  6. Step 6: Final answer
    x = 1,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.