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Finding the Fourth Proportional to 3,177.05, 4,766.49 and 985.79

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Solution

The fourth proportional to 3,177.05, 4,766.49 and 985.79 is: 1,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.05 : 4,766.49 = 985.79 : x
  2. Step 2: Convert to fraction form
    3,177.05/4,766.49 = 985.79/x
  3. Step 3: Cross multiply
    3,177.05x = 4,766.49 × 985.79
  4. Step 4: Simplify right side
    3,177.05x = 4,698,770.09
  5. Step 5: Solve for x
    x = 4,698,770.09/3,177.05
  6. Step 6: Final answer
    x = 1,478.97

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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.