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Finding the Fourth Proportional to 3,131.97, 4,697.29 and 910.64

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Solution

The fourth proportional to 3,131.97, 4,697.29 and 910.64 is: 1,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.97 : 4,697.29 = 910.64 : x
  2. Step 2: Convert to fraction form
    3,131.97/4,697.29 = 910.64/x
  3. Step 3: Cross multiply
    3,131.97x = 4,697.29 × 910.64
  4. Step 4: Simplify right side
    3,131.97x = 4,277,553.05
  5. Step 5: Solve for x
    x = 4,277,553.05/3,131.97
  6. Step 6: Final answer
    x = 1,365.77

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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.