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Finding the Fourth Proportional to 2,226.02, 3,338.72 and 582.69

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Solution

The fourth proportional to 2,226.02, 3,338.72 and 582.69 is: 873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.02 : 3,338.72 = 582.69 : x
  2. Step 2: Convert to fraction form
    2,226.02/3,338.72 = 582.69/x
  3. Step 3: Cross multiply
    2,226.02x = 3,338.72 × 582.69
  4. Step 4: Simplify right side
    2,226.02x = 1,945,435.84
  5. Step 5: Solve for x
    x = 1,945,435.84/2,226.02
  6. Step 6: Final answer
    x = 873.95

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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.