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Finding the Fourth Proportional to 2,766.56, 4,149.83 and 1,123.12

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Solution

The fourth proportional to 2,766.56, 4,149.83 and 1,123.12 is: 1,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.56 : 4,149.83 = 1,123.12 : x
  2. Step 2: Convert to fraction form
    2,766.56/4,149.83 = 1,123.12/x
  3. Step 3: Cross multiply
    2,766.56x = 4,149.83 × 1,123.12
  4. Step 4: Simplify right side
    2,766.56x = 4,660,741.72
  5. Step 5: Solve for x
    x = 4,660,741.72/2,766.56
  6. Step 6: Final answer
    x = 1,684.67

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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.