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Finding the Fourth Proportional to 1,922.83, 2,882 and 882.94

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Solution

The fourth proportional to 1,922.83, 2,882 and 882.94 is: 1,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.83 : 2,882 = 882.94 : x
  2. Step 2: Convert to fraction form
    1,922.83/2,882 = 882.94/x
  3. Step 3: Cross multiply
    1,922.83x = 2,882 × 882.94
  4. Step 4: Simplify right side
    1,922.83x = 2,544,633.08
  5. Step 5: Solve for x
    x = 2,544,633.08/1,922.83
  6. Step 6: Final answer
    x = 1,323.38

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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.