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Finding the Fourth Proportional to 2,755.62, 4,133.34 and 807.84

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Solution

The fourth proportional to 2,755.62, 4,133.34 and 807.84 is: 1,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.62 : 4,133.34 = 807.84 : x
  2. Step 2: Convert to fraction form
    2,755.62/4,133.34 = 807.84/x
  3. Step 3: Cross multiply
    2,755.62x = 4,133.34 × 807.84
  4. Step 4: Simplify right side
    2,755.62x = 3,339,077.39
  5. Step 5: Solve for x
    x = 3,339,077.39/2,755.62
  6. Step 6: Final answer
    x = 1,211.73

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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.