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Finding the Fourth Proportional to 2,775.15, 4,161.51 and 826.97

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Solution

The fourth proportional to 2,775.15, 4,161.51 and 826.97 is: 1,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.15 : 4,161.51 = 826.97 : x
  2. Step 2: Convert to fraction form
    2,775.15/4,161.51 = 826.97/x
  3. Step 3: Cross multiply
    2,775.15x = 4,161.51 × 826.97
  4. Step 4: Simplify right side
    2,775.15x = 3,441,423.12
  5. Step 5: Solve for x
    x = 3,441,423.12/2,775.15
  6. Step 6: Final answer
    x = 1,240.09

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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.