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Finding the Fourth Proportional to 1,619.62, 2,235.27 and 911.49

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Solution

The fourth proportional to 1,619.62, 2,235.27 and 911.49 is: 1,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.62 : 2,235.27 = 911.49 : x
  2. Step 2: Convert to fraction form
    1,619.62/2,235.27 = 911.49/x
  3. Step 3: Cross multiply
    1,619.62x = 2,235.27 × 911.49
  4. Step 4: Simplify right side
    1,619.62x = 2,037,426.25
  5. Step 5: Solve for x
    x = 2,037,426.25/1,619.62
  6. Step 6: Final answer
    x = 1,257.97

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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.