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Finding the Fourth Proportional to 2,766.37, 3,817.34 and 1,647.13

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Solution

The fourth proportional to 2,766.37, 3,817.34 and 1,647.13 is: 2,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.37 : 3,817.34 = 1,647.13 : x
  2. Step 2: Convert to fraction form
    2,766.37/3,817.34 = 1,647.13/x
  3. Step 3: Cross multiply
    2,766.37x = 3,817.34 × 1,647.13
  4. Step 4: Simplify right side
    2,766.37x = 6,287,655.23
  5. Step 5: Solve for x
    x = 6,287,655.23/2,766.37
  6. Step 6: Final answer
    x = 2,272.89

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