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Finding the Fourth Proportional to 2,150.94, 2,968.26 and 1,206.75

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Solution

The fourth proportional to 2,150.94, 2,968.26 and 1,206.75 is: 1,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.94 : 2,968.26 = 1,206.75 : x
  2. Step 2: Convert to fraction form
    2,150.94/2,968.26 = 1,206.75/x
  3. Step 3: Cross multiply
    2,150.94x = 2,968.26 × 1,206.75
  4. Step 4: Simplify right side
    2,150.94x = 3,581,947.76
  5. Step 5: Solve for x
    x = 3,581,947.76/2,150.94
  6. Step 6: Final answer
    x = 1,665.29

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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.