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Finding the Fourth Proportional to 2,697.20, 3,714.36 and 2,226.80

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Solution

The fourth proportional to 2,697.20, 3,714.36 and 2,226.80 is: 3,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.20 : 3,714.36 = 2,226.80 : x
  2. Step 2: Convert to fraction form
    2,697.20/3,714.36 = 2,226.80/x
  3. Step 3: Cross multiply
    2,697.20x = 3,714.36 × 2,226.80
  4. Step 4: Simplify right side
    2,697.20x = 8,271,136.85
  5. Step 5: Solve for x
    x = 8,271,136.85/2,697.20
  6. Step 6: Final answer
    x = 3,066.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.