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Finding the Fourth Proportional to 2,135.41, 3,203.50 and 729.75

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Solution

The fourth proportional to 2,135.41, 3,203.50 and 729.75 is: 1,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.41 : 3,203.50 = 729.75 : x
  2. Step 2: Convert to fraction form
    2,135.41/3,203.50 = 729.75/x
  3. Step 3: Cross multiply
    2,135.41x = 3,203.50 × 729.75
  4. Step 4: Simplify right side
    2,135.41x = 2,337,754.13
  5. Step 5: Solve for x
    x = 2,337,754.13/2,135.41
  6. Step 6: Final answer
    x = 1,094.76

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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.