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Finding the Fourth Proportional to 2,226.02, 3,339.02 and 582.56

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Solution

The fourth proportional to 2,226.02, 3,339.02 and 582.56 is: 873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.02 : 3,339.02 = 582.56 : x
  2. Step 2: Convert to fraction form
    2,226.02/3,339.02 = 582.56/x
  3. Step 3: Cross multiply
    2,226.02x = 3,339.02 × 582.56
  4. Step 4: Simplify right side
    2,226.02x = 1,945,176.77
  5. Step 5: Solve for x
    x = 1,945,176.77/2,226.02
  6. Step 6: Final answer
    x = 873.84

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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.