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Finding the Fourth Proportional to 2,536, 3,801.14 and 1,917.70

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Solution

The fourth proportional to 2,536, 3,801.14 and 1,917.70 is: 2,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 3,801.14 = 1,917.70 : x
  2. Step 2: Convert to fraction form
    2,536/3,801.14 = 1,917.70/x
  3. Step 3: Cross multiply
    2,536x = 3,801.14 × 1,917.70
  4. Step 4: Simplify right side
    2,536x = 7,289,446.18
  5. Step 5: Solve for x
    x = 7,289,446.18/2,536
  6. Step 6: Final answer
    x = 2,874.39

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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.