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Finding the Fourth Proportional to 3,190.57, 4,775.61 and 1,706.08

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Solution

The fourth proportional to 3,190.57, 4,775.61 and 1,706.08 is: 2,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.57 : 4,775.61 = 1,706.08 : x
  2. Step 2: Convert to fraction form
    3,190.57/4,775.61 = 1,706.08/x
  3. Step 3: Cross multiply
    3,190.57x = 4,775.61 × 1,706.08
  4. Step 4: Simplify right side
    3,190.57x = 8,147,576.12
  5. Step 5: Solve for x
    x = 8,147,576.12/3,190.57
  6. Step 6: Final answer
    x = 2,553.64

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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.