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Finding the Fourth Proportional to 1,909.72, 2,635.03 and 1,163.18

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Solution

The fourth proportional to 1,909.72, 2,635.03 and 1,163.18 is: 1,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.72 : 2,635.03 = 1,163.18 : x
  2. Step 2: Convert to fraction form
    1,909.72/2,635.03 = 1,163.18/x
  3. Step 3: Cross multiply
    1,909.72x = 2,635.03 × 1,163.18
  4. Step 4: Simplify right side
    1,909.72x = 3,065,014.20
  5. Step 5: Solve for x
    x = 3,065,014.20/1,909.72
  6. Step 6: Final answer
    x = 1,604.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.