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Finding the Fourth Proportional to 2,766.96, 3,817.14 and 1,647.27

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Solution

The fourth proportional to 2,766.96, 3,817.14 and 1,647.27 is: 2,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.96 : 3,817.14 = 1,647.27 : x
  2. Step 2: Convert to fraction form
    2,766.96/3,817.14 = 1,647.27/x
  3. Step 3: Cross multiply
    2,766.96x = 3,817.14 × 1,647.27
  4. Step 4: Simplify right side
    2,766.96x = 6,287,860.21
  5. Step 5: Solve for x
    x = 6,287,860.21/2,766.96
  6. Step 6: Final answer
    x = 2,272.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.