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Finding the Fourth Proportional to 2,163.50, 3,245.82 and 777.14

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Solution

The fourth proportional to 2,163.50, 3,245.82 and 777.14 is: 1,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.50 : 3,245.82 = 777.14 : x
  2. Step 2: Convert to fraction form
    2,163.50/3,245.82 = 777.14/x
  3. Step 3: Cross multiply
    2,163.50x = 3,245.82 × 777.14
  4. Step 4: Simplify right side
    2,163.50x = 2,522,456.55
  5. Step 5: Solve for x
    x = 2,522,456.55/2,163.50
  6. Step 6: Final answer
    x = 1,165.91

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1.5x scale

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.