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Finding the Fourth Proportional to 2,911.06, 4,367.22 and 963.19

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Solution

The fourth proportional to 2,911.06, 4,367.22 and 963.19 is: 1,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.06 : 4,367.22 = 963.19 : x
  2. Step 2: Convert to fraction form
    2,911.06/4,367.22 = 963.19/x
  3. Step 3: Cross multiply
    2,911.06x = 4,367.22 × 963.19
  4. Step 4: Simplify right side
    2,911.06x = 4,206,462.63
  5. Step 5: Solve for x
    x = 4,206,462.63/2,911.06
  6. Step 6: Final answer
    x = 1,444.99

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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.