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Finding the Fourth Proportional to 2,094.63, 3,137.09 and 1,747.95

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Solution

The fourth proportional to 2,094.63, 3,137.09 and 1,747.95 is: 2,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.63 : 3,137.09 = 1,747.95 : x
  2. Step 2: Convert to fraction form
    2,094.63/3,137.09 = 1,747.95/x
  3. Step 3: Cross multiply
    2,094.63x = 3,137.09 × 1,747.95
  4. Step 4: Simplify right side
    2,094.63x = 5,483,467.73
  5. Step 5: Solve for x
    x = 5,483,467.73/2,094.63
  6. Step 6: Final answer
    x = 2,617.87

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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.