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Finding the Fourth Proportional to 2,226.22, 3,339.54 and 582.74

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Solution

The fourth proportional to 2,226.22, 3,339.54 and 582.74 is: 874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.22 : 3,339.54 = 582.74 : x
  2. Step 2: Convert to fraction form
    2,226.22/3,339.54 = 582.74/x
  3. Step 3: Cross multiply
    2,226.22x = 3,339.54 × 582.74
  4. Step 4: Simplify right side
    2,226.22x = 1,946,083.54
  5. Step 5: Solve for x
    x = 1,946,083.54/2,226.22
  6. Step 6: Final answer
    x = 874.16

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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.