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Finding the Fourth Proportional to 2,736.63, 4,104.32 and 1,092.74

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Solution

The fourth proportional to 2,736.63, 4,104.32 and 1,092.74 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.63 : 4,104.32 = 1,092.74 : x
  2. Step 2: Convert to fraction form
    2,736.63/4,104.32 = 1,092.74/x
  3. Step 3: Cross multiply
    2,736.63x = 4,104.32 × 1,092.74
  4. Step 4: Simplify right side
    2,736.63x = 4,484,934.12
  5. Step 5: Solve for x
    x = 4,484,934.12/2,736.63
  6. Step 6: Final answer
    x = 1,638.85

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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.