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Finding the Fourth Proportional to 2,550.82, 3,826.50 and 907.52

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Solution

The fourth proportional to 2,550.82, 3,826.50 and 907.52 is: 1,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.82 : 3,826.50 = 907.52 : x
  2. Step 2: Convert to fraction form
    2,550.82/3,826.50 = 907.52/x
  3. Step 3: Cross multiply
    2,550.82x = 3,826.50 × 907.52
  4. Step 4: Simplify right side
    2,550.82x = 3,472,625.28
  5. Step 5: Solve for x
    x = 3,472,625.28/2,550.82
  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.