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Finding the Fourth Proportional to 2,138.31, 2,950.75 and 1,206.75

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Solution

The fourth proportional to 2,138.31, 2,950.75 and 1,206.75 is: 1,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.31 : 2,950.75 = 1,206.75 : x
  2. Step 2: Convert to fraction form
    2,138.31/2,950.75 = 1,206.75/x
  3. Step 3: Cross multiply
    2,138.31x = 2,950.75 × 1,206.75
  4. Step 4: Simplify right side
    2,138.31x = 3,560,817.56
  5. Step 5: Solve for x
    x = 3,560,817.56/2,138.31
  6. Step 6: Final answer
    x = 1,665.25

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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.