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Finding the Fourth Proportional to 2,449.62, 3,381.09 and 2,200.53

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Solution

The fourth proportional to 2,449.62, 3,381.09 and 2,200.53 is: 3,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.62 : 3,381.09 = 2,200.53 : x
  2. Step 2: Convert to fraction form
    2,449.62/3,381.09 = 2,200.53/x
  3. Step 3: Cross multiply
    2,449.62x = 3,381.09 × 2,200.53
  4. Step 4: Simplify right side
    2,449.62x = 7,440,189.98
  5. Step 5: Solve for x
    x = 7,440,189.98/2,449.62
  6. Step 6: Final answer
    x = 3,037.28

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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.