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Finding the Fourth Proportional to 3,271.58, 4,906.25 and 1,770.29

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Solution

The fourth proportional to 3,271.58, 4,906.25 and 1,770.29 is: 2,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.58 : 4,906.25 = 1,770.29 : x
  2. Step 2: Convert to fraction form
    3,271.58/4,906.25 = 1,770.29/x
  3. Step 3: Cross multiply
    3,271.58x = 4,906.25 × 1,770.29
  4. Step 4: Simplify right side
    3,271.58x = 8,685,451.93
  5. Step 5: Solve for x
    x = 8,685,451.93/3,271.58
  6. Step 6: Final answer
    x = 2,654.82

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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.