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Finding the Fourth Proportional to 2,766.54, 4,152 and 1,379.82

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Solution

The fourth proportional to 2,766.54, 4,152 and 1,379.82 is: 2,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.54 : 4,152 = 1,379.82 : x
  2. Step 2: Convert to fraction form
    2,766.54/4,152 = 1,379.82/x
  3. Step 3: Cross multiply
    2,766.54x = 4,152 × 1,379.82
  4. Step 4: Simplify right side
    2,766.54x = 5,729,012.64
  5. Step 5: Solve for x
    x = 5,729,012.64/2,766.54
  6. Step 6: Final answer
    x = 2,070.82

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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.