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Finding the Fourth Proportional to 3,144.60, 4,722.30 and 2,226.60

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Solution

The fourth proportional to 3,144.60, 4,722.30 and 2,226.60 is: 3,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.60 : 4,722.30 = 2,226.60 : x
  2. Step 2: Convert to fraction form
    3,144.60/4,722.30 = 2,226.60/x
  3. Step 3: Cross multiply
    3,144.60x = 4,722.30 × 2,226.60
  4. Step 4: Simplify right side
    3,144.60x = 10,514,673.18
  5. Step 5: Solve for x
    x = 10,514,673.18/3,144.60
  6. Step 6: Final answer
    x = 3,343.72

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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.