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Finding the Fourth Proportional to 2,182.92, 3,012.84 and 1,299.48

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Solution

The fourth proportional to 2,182.92, 3,012.84 and 1,299.48 is: 1,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,012.84 = 1,299.48 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,012.84 = 1,299.48/x
  3. Step 3: Cross multiply
    2,182.92x = 3,012.84 × 1,299.48
  4. Step 4: Simplify right side
    2,182.92x = 3,915,125.32
  5. Step 5: Solve for x
    x = 3,915,125.32/2,182.92
  6. Step 6: Final answer
    x = 1,793.53

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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.