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Finding the Fourth Proportional to 1,920.92, 2,883.20 and 882.09

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Solution

The fourth proportional to 1,920.92, 2,883.20 and 882.09 is: 1,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.92 : 2,883.20 = 882.09 : x
  2. Step 2: Convert to fraction form
    1,920.92/2,883.20 = 882.09/x
  3. Step 3: Cross multiply
    1,920.92x = 2,883.20 × 882.09
  4. Step 4: Simplify right side
    1,920.92x = 2,543,237.48
  5. Step 5: Solve for x
    x = 2,543,237.48/1,920.92
  6. Step 6: Final answer
    x = 1,323.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.