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Finding the Fourth Proportional to 2,755.83, 4,134.26 and 907.48

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Solution

The fourth proportional to 2,755.83, 4,134.26 and 907.48 is: 1,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.83 : 4,134.26 = 907.48 : x
  2. Step 2: Convert to fraction form
    2,755.83/4,134.26 = 907.48/x
  3. Step 3: Cross multiply
    2,755.83x = 4,134.26 × 907.48
  4. Step 4: Simplify right side
    2,755.83x = 3,751,737.59
  5. Step 5: Solve for x
    x = 3,751,737.59/2,755.83
  6. Step 6: Final answer
    x = 1,361.38

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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.