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Finding the Fourth Proportional to 2,553.51, 3,847.64 and 2,101.43

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Solution

The fourth proportional to 2,553.51, 3,847.64 and 2,101.43 is: 3,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.51 : 3,847.64 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    2,553.51/3,847.64 = 2,101.43/x
  3. Step 3: Cross multiply
    2,553.51x = 3,847.64 × 2,101.43
  4. Step 4: Simplify right side
    2,553.51x = 8,085,535.62
  5. Step 5: Solve for x
    x = 8,085,535.62/2,553.51
  6. Step 6: Final answer
    x = 3,166.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.