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Finding the Fourth Proportional to 2,098.20, 3,144.87 and 927.84

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Solution

The fourth proportional to 2,098.20, 3,144.87 and 927.84 is: 1,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.20 : 3,144.87 = 927.84 : x
  2. Step 2: Convert to fraction form
    2,098.20/3,144.87 = 927.84/x
  3. Step 3: Cross multiply
    2,098.20x = 3,144.87 × 927.84
  4. Step 4: Simplify right side
    2,098.20x = 2,917,936.18
  5. Step 5: Solve for x
    x = 2,917,936.18/2,098.20
  6. Step 6: Final answer
    x = 1,390.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.