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Finding the Fourth Proportional to 2,098.56, 3,146.67 and 866.81

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Solution

The fourth proportional to 2,098.56, 3,146.67 and 866.81 is: 1,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.56 : 3,146.67 = 866.81 : x
  2. Step 2: Convert to fraction form
    2,098.56/3,146.67 = 866.81/x
  3. Step 3: Cross multiply
    2,098.56x = 3,146.67 × 866.81
  4. Step 4: Simplify right side
    2,098.56x = 2,727,552.54
  5. Step 5: Solve for x
    x = 2,727,552.54/2,098.56
  6. Step 6: Final answer
    x = 1,299.73

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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.