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Finding the Fourth Proportional to 1,511.93, 2,086.36 and 848.66

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Solution

The fourth proportional to 1,511.93, 2,086.36 and 848.66 is: 1,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.93 : 2,086.36 = 848.66 : x
  2. Step 2: Convert to fraction form
    1,511.93/2,086.36 = 848.66/x
  3. Step 3: Cross multiply
    1,511.93x = 2,086.36 × 848.66
  4. Step 4: Simplify right side
    1,511.93x = 1,770,609.46
  5. Step 5: Solve for x
    x = 1,770,609.46/1,511.93
  6. Step 6: Final answer
    x = 1,171.09

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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.