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Finding the Fourth Proportional to 2,226.01, 3,338.94 and 582.55

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Solution

The fourth proportional to 2,226.01, 3,338.94 and 582.55 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.01 : 3,338.94 = 582.55 : x
  2. Step 2: Convert to fraction form
    2,226.01/3,338.94 = 582.55/x
  3. Step 3: Cross multiply
    2,226.01x = 3,338.94 × 582.55
  4. Step 4: Simplify right side
    2,226.01x = 1,945,099.50
  5. Step 5: Solve for x
    x = 1,945,099.50/2,226.01
  6. Step 6: Final answer
    x = 873.81

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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.