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Finding the Fourth Proportional to 2,774.89, 4,161.72 and 826.64

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Solution

The fourth proportional to 2,774.89, 4,161.72 and 826.64 is: 1,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.89 : 4,161.72 = 826.64 : x
  2. Step 2: Convert to fraction form
    2,774.89/4,161.72 = 826.64/x
  3. Step 3: Cross multiply
    2,774.89x = 4,161.72 × 826.64
  4. Step 4: Simplify right side
    2,774.89x = 3,440,223.41
  5. Step 5: Solve for x
    x = 3,440,223.41/2,774.89
  6. Step 6: Final answer
    x = 1,239.77

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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.