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Finding the Fourth Proportional to 2,911.30, 4,367.41 and 963.96

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Solution

The fourth proportional to 2,911.30, 4,367.41 and 963.96 is: 1,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.30 : 4,367.41 = 963.96 : x
  2. Step 2: Convert to fraction form
    2,911.30/4,367.41 = 963.96/x
  3. Step 3: Cross multiply
    2,911.30x = 4,367.41 × 963.96
  4. Step 4: Simplify right side
    2,911.30x = 4,210,008.54
  5. Step 5: Solve for x
    x = 4,210,008.54/2,911.30
  6. Step 6: Final answer
    x = 1,446.09

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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.