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Finding the Fourth Proportional to 2,958.72, 4,437.99 and 767.37

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Solution

The fourth proportional to 2,958.72, 4,437.99 and 767.37 is: 1,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.72 : 4,437.99 = 767.37 : x
  2. Step 2: Convert to fraction form
    2,958.72/4,437.99 = 767.37/x
  3. Step 3: Cross multiply
    2,958.72x = 4,437.99 × 767.37
  4. Step 4: Simplify right side
    2,958.72x = 3,405,580.39
  5. Step 5: Solve for x
    x = 3,405,580.39/2,958.72
  6. Step 6: Final answer
    x = 1,151.03

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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.