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Finding the Fourth Proportional to 2,755.90, 4,133.82 and 1,216.90

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Solution

The fourth proportional to 2,755.90, 4,133.82 and 1,216.90 is: 1,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.90 : 4,133.82 = 1,216.90 : x
  2. Step 2: Convert to fraction form
    2,755.90/4,133.82 = 1,216.90/x
  3. Step 3: Cross multiply
    2,755.90x = 4,133.82 × 1,216.90
  4. Step 4: Simplify right side
    2,755.90x = 5,030,445.56
  5. Step 5: Solve for x
    x = 5,030,445.56/2,755.90
  6. Step 6: Final answer
    x = 1,825.34

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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.