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Finding the Fourth Proportional to 2,755.42, 4,133.09 and 675.44

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Solution

The fourth proportional to 2,755.42, 4,133.09 and 675.44 is: 1,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.42 : 4,133.09 = 675.44 : x
  2. Step 2: Convert to fraction form
    2,755.42/4,133.09 = 675.44/x
  3. Step 3: Cross multiply
    2,755.42x = 4,133.09 × 675.44
  4. Step 4: Simplify right side
    2,755.42x = 2,791,650.83
  5. Step 5: Solve for x
    x = 2,791,650.83/2,755.42
  6. Step 6: Final answer
    x = 1,013.15

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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.