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Finding the Fourth Proportional to 2,734.91, 4,103.07 and 787.26

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Solution

The fourth proportional to 2,734.91, 4,103.07 and 787.26 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.91 : 4,103.07 = 787.26 : x
  2. Step 2: Convert to fraction form
    2,734.91/4,103.07 = 787.26/x
  3. Step 3: Cross multiply
    2,734.91x = 4,103.07 × 787.26
  4. Step 4: Simplify right side
    2,734.91x = 3,230,178.95
  5. Step 5: Solve for x
    x = 3,230,178.95/2,734.91
  6. Step 6: Final answer
    x = 1,181.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.