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Finding the Fourth Proportional to 2,958.26, 4,437.25 and 737.03

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Solution

The fourth proportional to 2,958.26, 4,437.25 and 737.03 is: 1,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.26 : 4,437.25 = 737.03 : x
  2. Step 2: Convert to fraction form
    2,958.26/4,437.25 = 737.03/x
  3. Step 3: Cross multiply
    2,958.26x = 4,437.25 × 737.03
  4. Step 4: Simplify right side
    2,958.26x = 3,270,395.62
  5. Step 5: Solve for x
    x = 3,270,395.62/2,958.26
  6. Step 6: Final answer
    x = 1,105.52

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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.