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Finding the Fourth Proportional to 2,766.54, 4,150.33 and 1,206.54

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Solution

The fourth proportional to 2,766.54, 4,150.33 and 1,206.54 is: 1,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.54 : 4,150.33 = 1,206.54 : x
  2. Step 2: Convert to fraction form
    2,766.54/4,150.33 = 1,206.54/x
  3. Step 3: Cross multiply
    2,766.54x = 4,150.33 × 1,206.54
  4. Step 4: Simplify right side
    2,766.54x = 5,007,539.16
  5. Step 5: Solve for x
    x = 5,007,539.16/2,766.54
  6. Step 6: Final answer
    x = 1,810.04

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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.