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Finding the Fourth Proportional to 2,182.96, 3,012.24 and 1,238.68

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Solution

The fourth proportional to 2,182.96, 3,012.24 and 1,238.68 is: 1,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.96 : 3,012.24 = 1,238.68 : x
  2. Step 2: Convert to fraction form
    2,182.96/3,012.24 = 1,238.68/x
  3. Step 3: Cross multiply
    2,182.96x = 3,012.24 × 1,238.68
  4. Step 4: Simplify right side
    2,182.96x = 3,731,201.44
  5. Step 5: Solve for x
    x = 3,731,201.44/2,182.96
  6. Step 6: Final answer
    x = 1,709.24

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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.