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Finding the Fourth Proportional to 2,099.39, 3,149.24 and 867.38

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Solution

The fourth proportional to 2,099.39, 3,149.24 and 867.38 is: 1,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.39 : 3,149.24 = 867.38 : x
  2. Step 2: Convert to fraction form
    2,099.39/3,149.24 = 867.38/x
  3. Step 3: Cross multiply
    2,099.39x = 3,149.24 × 867.38
  4. Step 4: Simplify right side
    2,099.39x = 2,731,567.71
  5. Step 5: Solve for x
    x = 2,731,567.71/2,099.39
  6. Step 6: Final answer
    x = 1,301.13

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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.