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Finding the Fourth Proportional to 2,129.62, 2,939.01 and 1,198.18

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Solution

The fourth proportional to 2,129.62, 2,939.01 and 1,198.18 is: 1,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.62 : 2,939.01 = 1,198.18 : x
  2. Step 2: Convert to fraction form
    2,129.62/2,939.01 = 1,198.18/x
  3. Step 3: Cross multiply
    2,129.62x = 2,939.01 × 1,198.18
  4. Step 4: Simplify right side
    2,129.62x = 3,521,463.00
  5. Step 5: Solve for x
    x = 3,521,463.00/2,129.62
  6. Step 6: Final answer
    x = 1,653.56

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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.