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Finding the Fourth Proportional to 1,909.25, 2,634.77 and 1,081.25

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Solution

The fourth proportional to 1,909.25, 2,634.77 and 1,081.25 is: 1,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.25 : 2,634.77 = 1,081.25 : x
  2. Step 2: Convert to fraction form
    1,909.25/2,634.77 = 1,081.25/x
  3. Step 3: Cross multiply
    1,909.25x = 2,634.77 × 1,081.25
  4. Step 4: Simplify right side
    1,909.25x = 2,848,845.06
  5. Step 5: Solve for x
    x = 2,848,845.06/1,909.25
  6. Step 6: Final answer
    x = 1,492.13

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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.