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Finding the Fourth Proportional to 1,909.00, 2,634.11 and 1,163.19

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Solution

The fourth proportional to 1,909.00, 2,634.11 and 1,163.19 is: 1,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.00 : 2,634.11 = 1,163.19 : x
  2. Step 2: Convert to fraction form
    1,909.00/2,634.11 = 1,163.19/x
  3. Step 3: Cross multiply
    1,909.00x = 2,634.11 × 1,163.19
  4. Step 4: Simplify right side
    1,909.00x = 3,063,973.32
  5. Step 5: Solve for x
    x = 3,063,973.32/1,909.00
  6. Step 6: Final answer
    x = 1,605.02

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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.