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Finding the Fourth Proportional to 2,226.31, 3,339.36 and 582.82

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Solution

The fourth proportional to 2,226.31, 3,339.36 and 582.82 is: 874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.31 : 3,339.36 = 582.82 : x
  2. Step 2: Convert to fraction form
    2,226.31/3,339.36 = 582.82/x
  3. Step 3: Cross multiply
    2,226.31x = 3,339.36 × 582.82
  4. Step 4: Simplify right side
    2,226.31x = 1,946,235.21
  5. Step 5: Solve for x
    x = 1,946,235.21/2,226.31
  6. Step 6: Final answer
    x = 874.20

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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.