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Finding the Fourth Proportional to 2,706.38, 3,737.41 and 2,110.52

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Solution

The fourth proportional to 2,706.38, 3,737.41 and 2,110.52 is: 2,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.38 : 3,737.41 = 2,110.52 : x
  2. Step 2: Convert to fraction form
    2,706.38/3,737.41 = 2,110.52/x
  3. Step 3: Cross multiply
    2,706.38x = 3,737.41 × 2,110.52
  4. Step 4: Simplify right side
    2,706.38x = 7,887,882.62
  5. Step 5: Solve for x
    x = 7,887,882.62/2,706.38
  6. Step 6: Final answer
    x = 2,914.55

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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.