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Finding the Fourth Proportional to 3,178.41, 4,766.73 and 1,771.09

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Solution

The fourth proportional to 3,178.41, 4,766.73 and 1,771.09 is: 2,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.41 : 4,766.73 = 1,771.09 : x
  2. Step 2: Convert to fraction form
    3,178.41/4,766.73 = 1,771.09/x
  3. Step 3: Cross multiply
    3,178.41x = 4,766.73 × 1,771.09
  4. Step 4: Simplify right side
    3,178.41x = 8,442,316.09
  5. Step 5: Solve for x
    x = 8,442,316.09/3,178.41
  6. Step 6: Final answer
    x = 2,656.15

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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.