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Finding the Fourth Proportional to 2,607.82, 3,911.31 and 963.99

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Solution

The fourth proportional to 2,607.82, 3,911.31 and 963.99 is: 1,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.82 : 3,911.31 = 963.99 : x
  2. Step 2: Convert to fraction form
    2,607.82/3,911.31 = 963.99/x
  3. Step 3: Cross multiply
    2,607.82x = 3,911.31 × 963.99
  4. Step 4: Simplify right side
    2,607.82x = 3,770,463.73
  5. Step 5: Solve for x
    x = 3,770,463.73/2,607.82
  6. Step 6: Final answer
    x = 1,445.83

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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.