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Finding the Fourth Proportional to 2,755.66, 4,133.13 and 808.06

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Solution

The fourth proportional to 2,755.66, 4,133.13 and 808.06 is: 1,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.66 : 4,133.13 = 808.06 : x
  2. Step 2: Convert to fraction form
    2,755.66/4,133.13 = 808.06/x
  3. Step 3: Cross multiply
    2,755.66x = 4,133.13 × 808.06
  4. Step 4: Simplify right side
    2,755.66x = 3,339,817.03
  5. Step 5: Solve for x
    x = 3,339,817.03/2,755.66
  6. Step 6: Final answer
    x = 1,211.98

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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.