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Finding the Fourth Proportional to 1,511.62, 2,086.46 and 882.28

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Solution

The fourth proportional to 1,511.62, 2,086.46 and 882.28 is: 1,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.62 : 2,086.46 = 882.28 : x
  2. Step 2: Convert to fraction form
    1,511.62/2,086.46 = 882.28/x
  3. Step 3: Cross multiply
    1,511.62x = 2,086.46 × 882.28
  4. Step 4: Simplify right side
    1,511.62x = 1,840,837.52
  5. Step 5: Solve for x
    x = 1,840,837.52/1,511.62
  6. Step 6: Final answer
    x = 1,217.79

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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.