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Finding the Fourth Proportional to 1,511.97, 2,086.36 and 848.78

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Solution

The fourth proportional to 1,511.97, 2,086.36 and 848.78 is: 1,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.97 : 2,086.36 = 848.78 : x
  2. Step 2: Convert to fraction form
    1,511.97/2,086.36 = 848.78/x
  3. Step 3: Cross multiply
    1,511.97x = 2,086.36 × 848.78
  4. Step 4: Simplify right side
    1,511.97x = 1,770,855.91
  5. Step 5: Solve for x
    x = 1,770,855.91/1,511.97
  6. Step 6: Final answer
    x = 1,171.23

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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.