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Finding the Fourth Proportional to 2,774.54, 4,161.51 and 826.61

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Solution

The fourth proportional to 2,774.54, 4,161.51 and 826.61 is: 1,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.54 : 4,161.51 = 826.61 : x
  2. Step 2: Convert to fraction form
    2,774.54/4,161.51 = 826.61/x
  3. Step 3: Cross multiply
    2,774.54x = 4,161.51 × 826.61
  4. Step 4: Simplify right side
    2,774.54x = 3,439,924.97
  5. Step 5: Solve for x
    x = 3,439,924.97/2,774.54
  6. Step 6: Final answer
    x = 1,239.82

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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.