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Finding the Fourth Proportional to 3,160.35, 4,735.74 and 1,771.61

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Solution

The fourth proportional to 3,160.35, 4,735.74 and 1,771.61 is: 2,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.35 : 4,735.74 = 1,771.61 : x
  2. Step 2: Convert to fraction form
    3,160.35/4,735.74 = 1,771.61/x
  3. Step 3: Cross multiply
    3,160.35x = 4,735.74 × 1,771.61
  4. Step 4: Simplify right side
    3,160.35x = 8,389,860.66
  5. Step 5: Solve for x
    x = 8,389,860.66/3,160.35
  6. Step 6: Final answer
    x = 2,654.73

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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.