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Finding the Fourth Proportional to 3,185.05, 4,777.61 and 963.90

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Solution

The fourth proportional to 3,185.05, 4,777.61 and 963.90 is: 1,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.05 : 4,777.61 = 963.90 : x
  2. Step 2: Convert to fraction form
    3,185.05/4,777.61 = 963.90/x
  3. Step 3: Cross multiply
    3,185.05x = 4,777.61 × 963.90
  4. Step 4: Simplify right side
    3,185.05x = 4,605,138.28
  5. Step 5: Solve for x
    x = 4,605,138.28/3,185.05
  6. Step 6: Final answer
    x = 1,445.86

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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.