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Finding the Fourth Proportional to 1,833.92, 2,529.92 and 1,213.44

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Solution

The fourth proportional to 1,833.92, 2,529.92 and 1,213.44 is: 1,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.92 : 2,529.92 = 1,213.44 : x
  2. Step 2: Convert to fraction form
    1,833.92/2,529.92 = 1,213.44/x
  3. Step 3: Cross multiply
    1,833.92x = 2,529.92 × 1,213.44
  4. Step 4: Simplify right side
    1,833.92x = 3,069,906.12
  5. Step 5: Solve for x
    x = 3,069,906.12/1,833.92
  6. Step 6: Final answer
    x = 1,673.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.