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Finding the Fourth Proportional to 2,550.68, 3,826.01 and 907.29

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Solution

The fourth proportional to 2,550.68, 3,826.01 and 907.29 is: 1,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.68 : 3,826.01 = 907.29 : x
  2. Step 2: Convert to fraction form
    2,550.68/3,826.01 = 907.29/x
  3. Step 3: Cross multiply
    2,550.68x = 3,826.01 × 907.29
  4. Step 4: Simplify right side
    2,550.68x = 3,471,302.88
  5. Step 5: Solve for x
    x = 3,471,302.88/2,550.68
  6. Step 6: Final answer
    x = 1,360.93

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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.