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Finding the Fourth Proportional to 2,550.57, 3,826.13 and 907.27

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Solution

The fourth proportional to 2,550.57, 3,826.13 and 907.27 is: 1,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.57 : 3,826.13 = 907.27 : x
  2. Step 2: Convert to fraction form
    2,550.57/3,826.13 = 907.27/x
  3. Step 3: Cross multiply
    2,550.57x = 3,826.13 × 907.27
  4. Step 4: Simplify right side
    2,550.57x = 3,471,328.43
  5. Step 5: Solve for x
    x = 3,471,328.43/2,550.57
  6. Step 6: Final answer
    x = 1,361.00

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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.