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Finding the Fourth Proportional to 2,550.61, 3,826.49 and 907.15

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Solution

The fourth proportional to 2,550.61, 3,826.49 and 907.15 is: 1,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.61 : 3,826.49 = 907.15 : x
  2. Step 2: Convert to fraction form
    2,550.61/3,826.49 = 907.15/x
  3. Step 3: Cross multiply
    2,550.61x = 3,826.49 × 907.15
  4. Step 4: Simplify right side
    2,550.61x = 3,471,200.40
  5. Step 5: Solve for x
    x = 3,471,200.40/2,550.61
  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.