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Finding the Fourth Proportional to 2,098.89, 3,149.75 and 866.27

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Solution

The fourth proportional to 2,098.89, 3,149.75 and 866.27 is: 1,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.89 : 3,149.75 = 866.27 : x
  2. Step 2: Convert to fraction form
    2,098.89/3,149.75 = 866.27/x
  3. Step 3: Cross multiply
    2,098.89x = 3,149.75 × 866.27
  4. Step 4: Simplify right side
    2,098.89x = 2,728,541.81
  5. Step 5: Solve for x
    x = 2,728,541.81/2,098.89
  6. Step 6: Final answer
    x = 1,299.99

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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.