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Finding the Fourth Proportional to 2,737.56, 4,109.99 and 2,329.32

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Solution

The fourth proportional to 2,737.56, 4,109.99 and 2,329.32 is: 3,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.56 : 4,109.99 = 2,329.32 : x
  2. Step 2: Convert to fraction form
    2,737.56/4,109.99 = 2,329.32/x
  3. Step 3: Cross multiply
    2,737.56x = 4,109.99 × 2,329.32
  4. Step 4: Simplify right side
    2,737.56x = 9,573,481.91
  5. Step 5: Solve for x
    x = 9,573,481.91/2,737.56
  6. Step 6: Final answer
    x = 3,497.09

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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.