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Finding the Fourth Proportional to 1,766.87, 2,439.27 and 1,208.15

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Solution

The fourth proportional to 1,766.87, 2,439.27 and 1,208.15 is: 1,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.87 : 2,439.27 = 1,208.15 : x
  2. Step 2: Convert to fraction form
    1,766.87/2,439.27 = 1,208.15/x
  3. Step 3: Cross multiply
    1,766.87x = 2,439.27 × 1,208.15
  4. Step 4: Simplify right side
    1,766.87x = 2,946,991.85
  5. Step 5: Solve for x
    x = 2,946,991.85/1,766.87
  6. Step 6: Final answer
    x = 1,667.92

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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.