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Finding the Fourth Proportional to 3,185.00, 4,777.48 and 963.82

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Solution

The fourth proportional to 3,185.00, 4,777.48 and 963.82 is: 1,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.00 : 4,777.48 = 963.82 : x
  2. Step 2: Convert to fraction form
    3,185.00/4,777.48 = 963.82/x
  3. Step 3: Cross multiply
    3,185.00x = 4,777.48 × 963.82
  4. Step 4: Simplify right side
    3,185.00x = 4,604,651.39
  5. Step 5: Solve for x
    x = 4,604,651.39/3,185.00
  6. Step 6: Final answer
    x = 1,445.73

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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.