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Finding the Fourth Proportional to 2,755.78, 4,133.94 and 1,522.96

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Solution

The fourth proportional to 2,755.78, 4,133.94 and 1,522.96 is: 2,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.78 : 4,133.94 = 1,522.96 : x
  2. Step 2: Convert to fraction form
    2,755.78/4,133.94 = 1,522.96/x
  3. Step 3: Cross multiply
    2,755.78x = 4,133.94 × 1,522.96
  4. Step 4: Simplify right side
    2,755.78x = 6,295,825.26
  5. Step 5: Solve for x
    x = 6,295,825.26/2,755.78
  6. Step 6: Final answer
    x = 2,284.59

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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.