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Finding the Fourth Proportional to 1,909.42, 2,635.41 and 1,163.62

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Solution

The fourth proportional to 1,909.42, 2,635.41 and 1,163.62 is: 1,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.42 : 2,635.41 = 1,163.62 : x
  2. Step 2: Convert to fraction form
    1,909.42/2,635.41 = 1,163.62/x
  3. Step 3: Cross multiply
    1,909.42x = 2,635.41 × 1,163.62
  4. Step 4: Simplify right side
    1,909.42x = 3,066,615.78
  5. Step 5: Solve for x
    x = 3,066,615.78/1,909.42
  6. Step 6: Final answer
    x = 1,606.05

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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.