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Finding the Fourth Proportional to 2,129.96, 2,939.31 and 1,198.46

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Solution

The fourth proportional to 2,129.96, 2,939.31 and 1,198.46 is: 1,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.96 : 2,939.31 = 1,198.46 : x
  2. Step 2: Convert to fraction form
    2,129.96/2,939.31 = 1,198.46/x
  3. Step 3: Cross multiply
    2,129.96x = 2,939.31 × 1,198.46
  4. Step 4: Simplify right side
    2,129.96x = 3,522,645.46
  5. Step 5: Solve for x
    x = 3,522,645.46/2,129.96
  6. Step 6: Final answer
    x = 1,653.86

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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.