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Finding the Fourth Proportional to 2,766.29, 4,150.17 and 1,206.42

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Solution

The fourth proportional to 2,766.29, 4,150.17 and 1,206.42 is: 1,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.29 : 4,150.17 = 1,206.42 : x
  2. Step 2: Convert to fraction form
    2,766.29/4,150.17 = 1,206.42/x
  3. Step 3: Cross multiply
    2,766.29x = 4,150.17 × 1,206.42
  4. Step 4: Simplify right side
    2,766.29x = 5,006,832.53
  5. Step 5: Solve for x
    x = 5,006,832.53/2,766.29
  6. Step 6: Final answer
    x = 1,809.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.