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Finding the Fourth Proportional to 2,138.25, 2,950.79 and 1,206.93

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Solution

The fourth proportional to 2,138.25, 2,950.79 and 1,206.93 is: 1,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.25 : 2,950.79 = 1,206.93 : x
  2. Step 2: Convert to fraction form
    2,138.25/2,950.79 = 1,206.93/x
  3. Step 3: Cross multiply
    2,138.25x = 2,950.79 × 1,206.93
  4. Step 4: Simplify right side
    2,138.25x = 3,561,390.94
  5. Step 5: Solve for x
    x = 3,561,390.94/2,138.25
  6. Step 6: Final answer
    x = 1,665.56

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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.