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Finding the Fourth Proportional to 2,093.83, 3,140.78 and 998.31

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Solution

The fourth proportional to 2,093.83, 3,140.78 and 998.31 is: 1,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.83 : 3,140.78 = 998.31 : x
  2. Step 2: Convert to fraction form
    2,093.83/3,140.78 = 998.31/x
  3. Step 3: Cross multiply
    2,093.83x = 3,140.78 × 998.31
  4. Step 4: Simplify right side
    2,093.83x = 3,135,472.08
  5. Step 5: Solve for x
    x = 3,135,472.08/2,093.83
  6. Step 6: Final answer
    x = 1,497.48

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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.