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Finding the Fourth Proportional to 1,634.75, 2,257.81 and 1,109.87

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Solution

The fourth proportional to 1,634.75, 2,257.81 and 1,109.87 is: 1,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.75 : 2,257.81 = 1,109.87 : x
  2. Step 2: Convert to fraction form
    1,634.75/2,257.81 = 1,109.87/x
  3. Step 3: Cross multiply
    1,634.75x = 2,257.81 × 1,109.87
  4. Step 4: Simplify right side
    1,634.75x = 2,505,875.58
  5. Step 5: Solve for x
    x = 2,505,875.58/1,634.75
  6. Step 6: Final answer
    x = 1,532.88

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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.