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Finding the Fourth Proportional to 1,816.20, 2,723.61 and 775.55

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Solution

The fourth proportional to 1,816.20, 2,723.61 and 775.55 is: 1,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.20 : 2,723.61 = 775.55 : x
  2. Step 2: Convert to fraction form
    1,816.20/2,723.61 = 775.55/x
  3. Step 3: Cross multiply
    1,816.20x = 2,723.61 × 775.55
  4. Step 4: Simplify right side
    1,816.20x = 2,112,282.12
  5. Step 5: Solve for x
    x = 2,112,282.12/1,816.20
  6. Step 6: Final answer
    x = 1,163.02

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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.