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Finding the Fourth Proportional to 3,177.14, 4,765.86 and 985.59

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Solution

The fourth proportional to 3,177.14, 4,765.86 and 985.59 is: 1,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.14 : 4,765.86 = 985.59 : x
  2. Step 2: Convert to fraction form
    3,177.14/4,765.86 = 985.59/x
  3. Step 3: Cross multiply
    3,177.14x = 4,765.86 × 985.59
  4. Step 4: Simplify right side
    3,177.14x = 4,697,183.96
  5. Step 5: Solve for x
    x = 4,697,183.96/3,177.14
  6. Step 6: Final answer
    x = 1,478.43

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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.