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Finding the Fourth Proportional to 3,214.98, 4,817.49 and 2,170.89

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Solution

The fourth proportional to 3,214.98, 4,817.49 and 2,170.89 is: 3,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.98 : 4,817.49 = 2,170.89 : x
  2. Step 2: Convert to fraction form
    3,214.98/4,817.49 = 2,170.89/x
  3. Step 3: Cross multiply
    3,214.98x = 4,817.49 × 2,170.89
  4. Step 4: Simplify right side
    3,214.98x = 10,458,240.87
  5. Step 5: Solve for x
    x = 10,458,240.87/3,214.98
  6. Step 6: Final answer
    x = 3,252.97

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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.