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Finding the Fourth Proportional to 2,748.96, 4,123.44 and 2,198.57

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Solution

The fourth proportional to 2,748.96, 4,123.44 and 2,198.57 is: 3,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.96 : 4,123.44 = 2,198.57 : x
  2. Step 2: Convert to fraction form
    2,748.96/4,123.44 = 2,198.57/x
  3. Step 3: Cross multiply
    2,748.96x = 4,123.44 × 2,198.57
  4. Step 4: Simplify right side
    2,748.96x = 9,065,650.86
  5. Step 5: Solve for x
    x = 9,065,650.86/2,748.96
  6. Step 6: Final answer
    x = 3,297.85

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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.