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Finding the Fourth Proportional to 2,002.05, 2,997.54 and 1,755.99

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Solution

The fourth proportional to 2,002.05, 2,997.54 and 1,755.99 is: 2,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 2,997.54 = 1,755.99 : x
  2. Step 2: Convert to fraction form
    2,002.05/2,997.54 = 1,755.99/x
  3. Step 3: Cross multiply
    2,002.05x = 2,997.54 × 1,755.99
  4. Step 4: Simplify right side
    2,002.05x = 5,263,650.26
  5. Step 5: Solve for x
    x = 5,263,650.26/2,002.05
  6. Step 6: Final answer
    x = 2,629.13

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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.