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Finding the Fourth Proportional to 2,737, 3,779.94 and 2,717.80

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Solution

The fourth proportional to 2,737, 3,779.94 and 2,717.80 is: 3,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737 : 3,779.94 = 2,717.80 : x
  2. Step 2: Convert to fraction form
    2,737/3,779.94 = 2,717.80/x
  3. Step 3: Cross multiply
    2,737x = 3,779.94 × 2,717.80
  4. Step 4: Simplify right side
    2,737x = 10,273,120.93
  5. Step 5: Solve for x
    x = 10,273,120.93/2,737
  6. Step 6: Final answer
    x = 3,753.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.