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Finding the Fourth Proportional to 2,553.65, 3,826.94 and 1,163.59

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Solution

The fourth proportional to 2,553.65, 3,826.94 and 1,163.59 is: 1,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.65 : 3,826.94 = 1,163.59 : x
  2. Step 2: Convert to fraction form
    2,553.65/3,826.94 = 1,163.59/x
  3. Step 3: Cross multiply
    2,553.65x = 3,826.94 × 1,163.59
  4. Step 4: Simplify right side
    2,553.65x = 4,452,994.32
  5. Step 5: Solve for x
    x = 4,452,994.32/2,553.65
  6. Step 6: Final answer
    x = 1,743.77

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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.