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Finding the Fourth Proportional to 2,138.57, 2,949.53 and 1,299.25

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Solution

The fourth proportional to 2,138.57, 2,949.53 and 1,299.25 is: 1,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.57 : 2,949.53 = 1,299.25 : x
  2. Step 2: Convert to fraction form
    2,138.57/2,949.53 = 1,299.25/x
  3. Step 3: Cross multiply
    2,138.57x = 2,949.53 × 1,299.25
  4. Step 4: Simplify right side
    2,138.57x = 3,832,173.06
  5. Step 5: Solve for x
    x = 3,832,173.06/2,138.57
  6. Step 6: Final answer
    x = 1,791.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.