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Finding the Fourth Proportional to 2,755.98, 3,806.55 and 2,008.74

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Solution

The fourth proportional to 2,755.98, 3,806.55 and 2,008.74 is: 2,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.98 : 3,806.55 = 2,008.74 : x
  2. Step 2: Convert to fraction form
    2,755.98/3,806.55 = 2,008.74/x
  3. Step 3: Cross multiply
    2,755.98x = 3,806.55 × 2,008.74
  4. Step 4: Simplify right side
    2,755.98x = 7,646,369.25
  5. Step 5: Solve for x
    x = 7,646,369.25/2,755.98
  6. Step 6: Final answer
    x = 2,774.46

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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.