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Finding the Fourth Proportional to 3,052.62, 4,213.64 and 2,170.98

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Solution

The fourth proportional to 3,052.62, 4,213.64 and 2,170.98 is: 2,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.62 : 4,213.64 = 2,170.98 : x
  2. Step 2: Convert to fraction form
    3,052.62/4,213.64 = 2,170.98/x
  3. Step 3: Cross multiply
    3,052.62x = 4,213.64 × 2,170.98
  4. Step 4: Simplify right side
    3,052.62x = 9,147,733.59
  5. Step 5: Solve for x
    x = 9,147,733.59/3,052.62
  6. Step 6: Final answer
    x = 2,996.68

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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.