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Finding the Fourth Proportional to 2,096.30, 3,140.85 and 998.30

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Solution

The fourth proportional to 2,096.30, 3,140.85 and 998.30 is: 1,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.30 : 3,140.85 = 998.30 : x
  2. Step 2: Convert to fraction form
    2,096.30/3,140.85 = 998.30/x
  3. Step 3: Cross multiply
    2,096.30x = 3,140.85 × 998.30
  4. Step 4: Simplify right side
    2,096.30x = 3,135,510.56
  5. Step 5: Solve for x
    x = 3,135,510.56/2,096.30
  6. Step 6: Final answer
    x = 1,495.74

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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.